What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.

Answers

Answer 1

Answer:

The domain of f is x > 0.

The range of f is all real numbers.

The domain of the inverse function is all real numbers.

The range of the inverse function is y > 0.

The domain of f is the same as the

range of the inverse function.

The range of f is the same as the

the domain of the inverse function.

Step-by-step explanation:

this is the sample answer, make sure you rewrite in your own words!

Answer 2

The domain and the range of a function are the set of input and output values of the function

The domain and the range of the function are set of real numbers greater than 0

The function is given as:

[tex]f(x) = log_7(x)[/tex]

The above function is a logarithmic function.

From the properties of a logarithmic function, we have:

The x-values are always greater than 0The y-values are always greater than 0

This means that, the domain and the range of the function are set of real numbers greater than 0

Read more about domain and range at:

https://brainly.com/question/10197594


Related Questions

If you spun the spinner 1 time, what is the probability it would land on a white piece?

Answers

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Solve algebraically
x-4y=-10
x+y=5

Answers

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?

Answers

Answer:

The answer is .007874989

Step-by-step explanation:

How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4

Answers

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

3 tangets are common therefore they can be drawn

Which expression is equivalent to mn+z

Answers

Is an ecuation with out solution it stays same

A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?

21
45
90

Answers

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

HELPPPPP I HAVE NO CLUE ON WHAT TO DO

Answers

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?

Answers

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

20 is what percent of 60

Answers

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

Which is equal

(please help asap!)

Answers

Answer:

B

Step-by-step explanation:

there

a) -3 · x = -21

b) -7x + 16 = 2x - 20
help pls

Answers

a) x=7, you divide both sides by -3 to get x by itself.

b) x=4, you add 7x to both sides to get all the x on one side, you then add 20 to both sides to get all constants on both sides. lastly, you divide by 9 to get x by itself.
a) -3x=-21
x=-21/-3
x=7

b) -7x+16=2x-20
-7x-2x=-20-16
-9x=-36
x=-36/-9
x=4

The given system of eqqations models the coins in a jar containing n nickels, d dimes, and a quarters. Which statement is
modeled by one of the equations in the system?
q- dun
0 250+ 0 100+ 0.05n-6.05
+0+-36
The number of nickels is equal to the total number of dimes and quarters
The total value of the coins in the jar is $36
There is a total of 36 coins in the jar
There is an equal number of nickels, dimes, and quarters

Answers

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

Solve for the missing side

Answers

Answer:

c

Step-by-step explanation:

If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters​

Answers

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person

Answers

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021


Determine which ordered pairs are also in the relation where the rise is -2, the run is
3, and (6,2) lies on the line.

a) (-9, -12) and (-6, 2)
b) (-3, 4) and (3,8)
c) (0,9) and (-2, 12)
d) (9,0) and (12, -2)

Answers

Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The Rise and Run of a LineThe rise of a line is the change in the y-values.The run of a line is the change in the x-values.

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

Learn more about rise and run of a line on:

https://brainly.com/question/14043850

PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=

Answers

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

please answer this. 20 points

Answers

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

It is counterclockwise

What is 1200 milligrams converted into grams

Answers

Answer:

The answer is 1.2 grams.

Step-by-step explanation:  So 1,000 milligrams is 1 gram.   So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.

FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

what is (5 x 3 ) + 10

Answers

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?

Answers

If you scale 64 meters by a factor of 5 you will get 34.55

Please help me now plz I promise I will mark you brainliest

Answers

Answer:

C. Outside the circle

I hope this helps

Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.


A) y equals 1 divided by 24 x squared

B) y2 = 6x

C) y2 = 24x

D) y equals 1 divided by 6 x squared

Answers

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

The table gives the mass of liquids with a volume of 5 cm3. A 2-column table with 4 rows. Column 1 is labeled liquid with entries water, glycerin, milk, olive oil. Column 2 is labeled Mass (grams) with entries 5, 6.3, 5.15, 4.9. Density is the ratio of mass to volume. Density = mass volume What is the density of milk? Use the drop-down menu to complete the statement. The density of milk is StartFraction grams Over centimeters cubed EndFraction.

Answers

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?

Select all that apply.

Answers

Answer:

hexagonrectanglesquaretrianglepentagon

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

What polygons are possible?

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

Can you pleasee help me with the Screenshot Below its Overdue.

Answers

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23

Answers

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Consider rectangle ABCD with diagonals BD and AC

intersecting at

Which is true about the angle relationships in the

rectangle? Check all that apply.

BEA and 2 CED are vertical angles and equal

76

ZABE and 2 CBE are complementary angles,

BEC and CED are vertical angles,

-------

BEA and AED are supplementary angles

whose sum is 180°

O

BEC and

AED are adjacent angles,

Answers

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

BEA and 2×CED are vertical angles and equal  76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles  whose sum is 180° BEC and  AED are adjacent angles,

Answer:

it is abd

Step-by-step explanation:

Find the first four terms in the sequence an=15+6n.

A. 18, 12, 6, 0

B. 20, 26, 32, 38

C. 21, 27, 33, 39

D. 20, 14, 8, 2

Answers

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

Learn more on sequence here: https://brainly.com/question/24195209

A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?

Answers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

Other Questions
What country did iraq attack to begin the Persian gulf war Can someone help me with questions 2 and 3 pls? Find z1z2 if z1 = 3(cos37 + isin37) and z2 = 2/3(cos53 + isin53). Before the game started we were planning to eat at the new restaurant on Fox and Cole streets.What should the writer do to correct this sentence? A. Add a comma after "started." B. Add a comma after "eat." C. Change "were" to "we're." D. The sentence is correct. Help me please help me thank you Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5. what was Charles darwin known for? Which of the following particle is responsible for the transfer of static charge? A. Neutron B. Electron C. Proton D. A & C Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run Chiasso Co. reported a retained earnings balance of $200,000 at December 31, 2020. In September 2021, Chiasso determined that insurance premiums of $30,000 for the three-year period beginning January 1, 2020, had been paid and fully expensed in 2020. Chiasso has a 25% income tax rate. What amount should C report as adjusted beginning retained earnings in its 2021 statement of retained earnings? Swamps,beaches,and wetlands are all located in the___.A. Great Plains B. Great Basin C. Coastal Plains D. Appalachian Mountains You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , .Pretend you are in the Dominican Republic with a friend. Write a short description in Spanish of what you and your friend do for fun. Include the following details in your description:At least two activities per person and at least one more that you do togetherUse at least one expression with irUse at least three frequency expressionsState where you go to do each of the activities HELP ASAP PLS: Please select the word from the list that best fits the definitionTables and charts comparing the government from five different states The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions? -4b - 5 + 2b =10. Can I have some help solving this. f(n) = 41 5nComplete the recursive formula of f(n).f(1) =f(n) = f(n 1)+ Sheffield Co. is building a new hockey arena at a cost of $2,630,000. It received a downpayment of $520,000 from local businesses to support the project, and now needs to borrow $2,110,000 to complete the project. It therefore decides to issue $2,110,000 of 12%, 10-year bonds. These bonds were issued on January 1, 2019, and pay interest annually on each January 1. The bonds yield 11%. Sheffield paid $50,000 in bond issue costs related to the bond sale.Required:(a) Prepare the journal entry to record the issuance of the bonds and the related bond issue costs incurred on January 1, 2019.(b) Prepare a bond amortization schedule up to and including January 1, 2023, using the effective-interest method. What is the slope for the linear function y=3x-4 1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyoneknows). If there is a 4% rate of defect in manufacturing,a) find the mean number of defects per group.a) Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters oftomato sauce in a pot. Next he adds the milk that is in the measuring cup. Howmany milliliters of soup does he make?A. 400 millilitersB. 460 millC. 350 millD. 500 mill