If two functions are inverses of each other, which 2 statements are true?
A The graph of an inverse of a function is a reflection of the function across the line y=x. B f(g(x)) = x and g(f(x)) = x
C The graph of an inverse of a function is a reflection of the function across the line y=0. D f(g(x)) =1 and g(f(x)) = 1

Answers

Answer 1

Answer:

A and B

Step-by-step explanation:

To be inverses, the inverse composite functions must equal x, since the input and output must be equal as how much you used as your input, which is x. B proves that. Also, the graph must reflect over y = x, which is the line that runs through the origin


Related Questions

please help i will give extra points

Answers

Answer:

3^2 + 21 /3

9 + 7

16✓

Answer

How do I write three fourths of a number is 12 as an equation?

Answers

Answer:

[tex] \frac{3}{4} n = 12[/tex]

Step-by-step explanation:

let the number be n :

[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]

further more:

[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]

Answer:

3x4=12

Step-by-step explanation:

What shape is always created in graphing the addition of two vectors?

Answers

Answer: Parallelogram

You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).

An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram

Side note: The other diagonal is either u-v or v-u depending on your reference point.

A camera cost 115 Canadian dollars if each Canadian dollar is worth 0.950 to US dollars how much will the camera cost in the US dollars

Answers

Answer:

109.25 US dollars

Step-by-step explanation:

115 * 0950

Answer: 109.25

Explanation:
Just multiply 115 and .950 together! :)

Round 17.20947 to the nearest
hundredth.

Answers

17.21

the 9 behind the 0 helps it go up to 1 !!

Convert 8 2/3% into a decimal.

Answers

Answer:

the answer is = 0.08666666666

The decimal value of 8 2/3% is 866.677.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

8 2/3% into decimal.

So, 8 2/3%

= 26/3 %

= 26 /3 x 100

= 8.6666667 x 100

=866.6777

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ5

Question 9 (5 points)

image


The measure of arc CD is 175°. Determine the measure of ∠DBC.

Question 9 options:


1)


175°


2)


87.5°


3)





4)


350°

Answers

Answer:

175 degrees!!!!!!!!

Step-by-step explanation:

what is - 7/10 + (- 5/6) =

Answers

-7/10 + (-5/6) = -(7/10 + 5/6) =

= -(21/30 + 25/30) = -46/30 =

= -1 16/30 = -1 8/15 ← the end

Inverse for f(x)=1/2x+3

Answers

Answer: [tex]f^{-1}(x)=2x-6[/tex]

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

[tex]y=\frac{1}{2}x+3[/tex]        [switch x and y]

[tex]x=\frac{1}{2}y+3[/tex]        [subtract both sides by 3]

[tex]x-3=\frac{1}{2} y[/tex]        [multiply both sides by 2]

[tex]y=2x-6[/tex]

Now, we know that  [tex]f^{-1}(x)=2x-6[/tex].

Six less than four times a number is twenty-two. Find the number

Answers

4•7=28
28-6=22
So the answer is 7
hopes this helps…

Answer:

6-2×n=22

2×n=22

Since it is multiplication we have to take opposite side which is Division

So We divide both sides with 2

2÷2×n=22÷2

n=11

Show that |3| + |10| = |3| + |10| ​

Answers

Answer:

/10/=/-10/=10 ; /3/=/-3/=3

=> /3/+/10/=/3/+/10/=3+10=13

Step-by-step explanation:

[y^6(xy^2)^-3/3x^-3z]^-2

Answers

Answer:

-35x8y13z11

Step-by-step explanation

if a and b are roots of the equation ax²+bx+c=0 obtain the value of a/b +b/a

Answers

[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]

[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]

Which number has a 6 that is 1/10 of the value of the 6 in 7,639

Answers

Answer:

60

Step-by-step explanation:

the 6 in 7639 has a value of 600

600/10 = 60

In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 5 degrees less than 6 times the size of angle A.
Find the size of the angles.

If you can help me, you are a legend

Answers

Answer:

18.5°, 55.5°, 106°

Step-by-step explanation:

Given:

B = 3AC = 6A - 5

Since the sum of three interior angles is 180°, solve for A:

A + B + C = 180A + 3A + 6A - 5 = 18010A = 185A = 18.5°

Find B and C:

B = 3*18.5 = 55.5°C = 6*18.5 - 5 = 106°

A store in Iowa advertises that during their Labor Day sale, everything is 25% off, plus they will pay the sales tax. Mike buys shoes for $80 and socks for $5. Since there will be no tax added, what is the final price for Mike’s purchase?

Answers

9514 1404 393

Answer:

  $63.75

Step-by-step explanation:

Mike's final price will be 1-25% = 75% of the marked price.

  ($80 +5)(0.75) = $63.75

The final price for Mike's purchase is $63.75.

Use a TABLE to solve ( x + 3) ( x + 2). QUICK PLEASE!

Answers

Answer:

My answer is: x square + 5x +6

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{(x + 3)(x + 2)}}\\\huge\boxed{\mathsf{\rightarrow x(x) + 2(x) + 3(x) + 3(2)}}}\\\huge\boxed{\rightarrow{\mathsf{x^2 + 2x + 3x +6}}}\\\huge\boxed{\boxed{\text{COMBINE the LIKE TERMS}}}\\\huge\boxed{\mathsf{\rightarrow x^2 + \bold{2x + 3x} + 6}}\\\huge\boxed{\mathsf{\rightarrow{x^2 + \bold{5x} + 6}}}\\\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: x^2 + 5x + 6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

The product of w and 2 is greater than -29

Answers

Answer:

2w>-29

Step-by-step explanation:

Simplified it's w> -14.5

Order from least to greatest
√6, -5.25 , 3/2 , 5

Answers

-5.25, 3/2, (square root)6, 5

Answer: 5.25, 3/2, the square root of 6, 5

Step-by-step explanation:

name the value of the digit 484,002,000 and the 8 is underlined.

Answers

Answer:

ITS 80,000,000

Set theory Need answers quick

Answers

Answer:

4. {2,4,6,8}

5. [(-2, -1), (1, 8)}

9. {0, 2}

Step-by-step explanation:

The intersection of the given sets is the set that contains elements common to all of the given the sets.

help with this math question plz

Answers

Answer: The length of LK is 40.

Step-by-step explanation:

LK = 6x+10

KM = 2x+8

LM = 58

so

LM = LK + KM

or, 58 = 6x+10+2x+8

or, 58 = 8x + 18

or, 58-18 = 8x

or, 8x = 40

so, x = 5

now

LK = 6x + 10

     = 6*5+10

     = 30 +10

     = 40

Cost of the item is $ 60.30, the tax rate is 5.6% What
la the tax?

Answers

Answer:

$3.378 or $3.38 rounded

Find an equation of a line that has a slope 7 and passes through the point 3,11

Answers

You’re given that m=7 (slope is 7), so setup the slope-intercept form with that info: y = 7x + b.

Now you need to find b. Plug in (3,11) for x and y, x=3 and y=11.

11 = 7*3 + b

Notice the only variable left is b, so you’ll find b this way.

11 = 21 + b and then subtract 21 from both sides:

11 - 21 = b

-10 = b

Plug that back into the equation and you have y = 7x -10

Solve for F. m/F = 1/a

Answers

Answer:

F = ma

Step-by-step explanation:

Given

[tex]\frac{m}{F}[/tex] = [tex]\frac{1}{a}[/tex] ( cross- multiply )

F = ma

find the greatest common factor of 20 and 40​

Answers

Answer:

20,10,5,4,2,1

Step-by-step explanation:

Solve the equation.
6(x + 7) = 5(x - 7) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)

Answers

Answer:C

Step-by-step explanation:

6(x+7)=5(x-7)+x

⇔6x+42=5x-35+x

⇔6x-5x-x=-35-42

⇔0x=-77  

A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

9514 1404 393

Answer:

boat: 72 km/hcurrent: 16 km/h

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

I need the answerrrrrrrrrrrrrrrrrrrrrrrr I HATE GEOMETRY AND I NEED TO GET MY GRADES UP CAUSE I NEED MY PHONE BACK.

Answers

Answer:

The bisector is line l

mq = 7

Step-by-step explanation:

To find x:

[tex]5x-3=11-2x\\\\+2x+3 +3 +2x\\\\\\7x=14\\x=2[/tex]

To find the value of mq

plug in the value of x into the equation.

[tex]11-2x\\11-2(2)\\11-4\\=7[/tex]

MQ = 7

Hope this is helpful! Please leave a review and comment below! Thanks for all your support!  

Answer:

b. B

Step-by-step explanation:

PM = RM

[tex]5x - 3 = 11 - 2x[/tex]

[tex]5x + 2x = 11 + 3[/tex]

[tex]7x = 14[/tex]

[tex]x \times 2[/tex]

MQ = [tex]11 - 2x[/tex]

[tex]11 - 2 \times 2[/tex]

[tex]11 - 4[/tex]

[tex] = 7[/tex]

If the points on a scatterplot are clustered in a pattern that extends from the upper left to the lower right, this would suggest that the two variables depicted are: ________

a. normally distributed.
b. positively correlated.
c. regressing toward the average.
d. negatively correlated.

Answers

Answer:

B

Explanation:

im doing this for points :D

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