F(x)=sqrt x -4.find the inverse of f(x) and it’s domain

F(x)=sqrt X -4.find The Inverse Of F(x) And Its Domain

Answers

Answer 1

Answer:

B

Step-by-step explanation:

[tex]y = \sqrt{x } - 4 \\ \sqrt{x} = y + 4 \\ x = (y + 4) {}^{2} \\ [/tex]

Domain of inverse = Range of f = x>-4

Hence B

Answer 2

The correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

What is an inverse function?

The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, the inverse of f is true.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is f(x) = √x - 4. The inverse function will be calculated as:-

y = √x - 4

√x = y + 4

Squaring on both sides.

x = ( y + 4 )²

Replace x with y.

y = ( x + 4 )²

The range of the function is x ≥ -4.

Therefore, the correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

To know more about an inverse function follow

https://brainly.com/question/3831584

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Related Questions

If 2x+4=8, what is 9x?

Answers

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

please help me for 5 points​

Answers

Answer:

275 adults

130 children

Step-by-step explanation:

Answer:

275 adults, 130 children

Step-by-step explanation:

What is the simplified algebraic expression?

Answers

3x + 2y – 2x + 6.

Solution: 3x + 2y – 2x + 6.

At the time of her​ grandson's birth, a grandmother deposits $3000 in an account that pays 9.5% compounded monthly.
What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?

Answers

Answer:

74820

Step-by-step explanation:

9.5% of 3000 is 285

there are 12 months in a year

so 12 times 21 equals 252

so 285 times 252 add 3000 equals 74820

Zachary's art club ordered a giant sub sandwich for a party. It was 6 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
Write your answer as a proper fraction or mixed number.

Answers

Answer:

3/8 feet long

Step-by-step explanation:

Find how long each piece was by dividing 6 by 16:

6/16

Simplify this by dividing each number by 2:

6/16

= 3/8

So, each piece was 3/8 feet long

C-x:x is a two-digit natural number such that the sum of its digits is is 89​

Answers

Step-by-step explanation:C={x:x is a two-digit natural number such that the sum of its digits is 8}The elements of this set are 17,26,35,44,53,62,71 and 80 only.Therefore, this set can be written in roster form as C=17,26,35,44,53,62,71,80I NEED BRAINLIEST ✌️ PLZ if itz correct /:)

the sherman family mad a down payment of $18,375 for a new house they mortaged the remaining cost of $129,625 the interest paid for 30 years was $273,116 what was the total cost of the house

Answers

Answer:

honestly this is a very poorly worded question...

it can be interpreted in several different ways....

the cost of the house (for them to purchase it) was

$129,625 + $18,375 = $148,000

The total amount that they paid for the house (money spent)

was  

$129,625 + $18,375 + $273,116 = $421,116

all being said I think that the $148,000 is the answer that the question

is trying for you to figure out

Step-by-step explanation:

If a set of scores for a variable is displayed in a frequency distribution polygon, which scale of measurement was used to measure the variable

Answers

Given: The set of scores for a variable is displayed in a frequency distribution polygon.

To find: We need to find which scale of measurement was used to measure the variable

Solution: A frequency distribution table is always either in interval or in ration scale.

Can someone help me with this math homework please!

Answers

The answer is either B or D, but I am pretty sure it is D

Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°

Answers

x=65. helpshdidnskdndikdndod disks djdnd

10
What are the x- and y-coordinates of point E, which
partitions the directed line segment from A to B into a
ratio of 1:2?
B(-4,9)
9
8
X E
(
mn)(x2 – xı) + x
7-
6
5
4
mm. )(x2 - y) + y
3
-7 -6 -5 4 -3 -2 -14
2 3 4 5 6 7
0 (0, 1)
0 (-1,3)
O(-2,5)
(1,0)
X
-2.
3
A(2,-3)
19

Answers

Answer:

Step-by-step explanation:

The formulas to find the x and y coordinates of E are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex]  where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex]  and now for y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of E are (0, 1).

Given:

The points are A(2,-3) and B(-4,9).

The point E divides the segment AB in 1:2.

To find:

The coordinates of point E.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the point is:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Using the section formula, the coordinates of point E are:

[tex]E=\left(\dfrac{1(-4)+2(2)}{1+2},\dfrac{1(9)+2(-3)}{1+2}\right)[/tex]

[tex]E=\left(\dfrac{-4+4)}{3},\dfrac{9-6}{3}\right)[/tex]

[tex]E=\left(\dfrac{0)}{3},\dfrac{3}{3}\right)[/tex]

[tex]E=\left(0,1\right)[/tex]

Therefore, the coordinates of the point E are (0,1).

PLS HELP(algebra 1)
solve -7 + 18(17h + 19)

Answers

Answer:

335+306h

Step-by-step explanation:

solve the brackets first by distributing 18 to 17h and 19

-7+306h+342

then group the like terms

-7+342+306h

335+306h

A researcher is curious about the average IQ of registered voters in the state of Florida. The entire group of registered voters in Florida is an example of a ______.

Answers

Answer:

Population

Step-by-step explanation:

A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.

A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

In this scenario, the entire group of registered voters in Florida is an example of a population.

13. For every 5 hours that he works, Andrew
is paid $60.20. How much is Andrew paid
in dollars per hour?

Answers

60.20 divided by 5 =$12.04 per hour


Find angle m A. 69
B. 23
C. 46
D. 167

Answers

Answer:

a

Step-by-step explanation:

∠DAF - ∠CFA=∠DFC

 118-49 =69

What is the length of each side of a square if its area is 121 ft??
11 feet
12 feet
10 feet
30 feet

Answers

Answer:

11 feet

Step-by-step explanation:

Given,

Area of square ( a^2 ) = 121 ft

To find : Length of each side ( a ) = ?

Formula : -

Area of square = a^2

a^2 = 121

a = √121

a = 11 feet

Answer:

11 ft = side length

Step-by-step explanation:

The area of a square is found by

A = s^2

121 = s^2

Taking the square root of each side

sqrt(121) = sqrt(s^2)

11 = s

i need help ASAP. PLEASE. ​

Answers

Answer:

1st one

Step-by-step explanation:

Pls help this set question

Answers

1: True

2: False

3: False

4: True

5: False

6: True

The perimeter of a square is 80cm
state the length of one of its side

Answers

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

if f(1) = 2 – 2 anid 9(37)
and g(x) = x2 – 9, what is the domain of g(x) = f(x)?

Answers

Answer:

B

Step-by-step explanation:

Let divide g(x) by f(x)

[tex] \frac{ {x}^{2} - 9 }{2 - x {}^{ \frac{1}{2} } } [/tex]

The domain of a rational function cannot equal zero so let set the bottom function to zero.

[tex]2 - x {}^{ \frac{1}{2} } = 0[/tex]

[tex]x {}^{ \frac{1}{2} } = 2[/tex]

Square both sides

[tex]x = 4[/tex]

Also we can simplify the bottom denomiator into a square root function

[tex]2 - \sqrt{x} [/tex]

The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.

So we must find a answer that

Disincludes 4 from the intervalDoesnt range in the negative number or infinity)Range out in positve infinityThe answer to that is B

Question 4 of 10
Which describes the graph of y=-(x - 3)^2 + 2?
O A. Vertex at (-3,2)
O B. Vertex at (3,-2)
C. Vertex at (3,2)
O D. Vertex at (-3,-2)

Answers

The correct answer is b

Answer:Vertex at (3, -2)

Step-by-step explanation:

PLEASE HELP!!! Find the equation of the line passing through the point that (4,-1)that is parallel to the line 2x-3y=9

Answers

Answer:

y=2/3x-11/3

Step-by-step explanation:

line is parallel so the gradient will be the same ( m=2/3)

using the point (4,-1)

y=2/3x+c

-1=2/3*4+c

-1=8/3+c

c= -11/3

equation ---> y=2/3x-11/3

A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary.
round your answer to the nearest percent.

Answers

Answer:

A) 60%

Step-by-step explanation:

24/40

= 0.6

0.6*100

= 60%

I really hope this is right and it helps.

In the coordinate plane, two vertices of square ABCD are A (0, 0) and B (0, m). What are the coordinates of points C and D? Do not introduce any new variables.

Answers

Answer:

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).

Step-by-step explanation:

Square:

In a square, all sides have the same length.

A (0, 0) and B (0, m).

This means that the length of the sides is m.

So:

From A, adding m vertically, we get point (0,m), which is B.

From A, adding m horizontally, we get point (m,0), which I will call D.

From B, adding m horizontally, we get point (m,m), which I will call C.

The coordinate of point C is (m,m) and the coordinate of point D is (m,0).


Solve each equation. Round to four decimal places.
e^x=8

Answers

Answer:

x ≈ 2.0794

Step-by-step explanation:

Given

[tex]e^{x}[/tex] = 8 ( take ln of both sides )

ln [tex]e^{x}[/tex] = ln 8

x lne = ln 8 [ lne = 1 ]

x = ln 8 ≈ 2.0794 ( to 4 dec. places )

Answer:

x ≈ 2.0794

Step-by-step explanation:

[tex] \small \sf \: e {}^{x} = 8[/tex]

Take the natural logarithm of both side of equation

[tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex]

[tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]

x = In( 8 )

Write the number in exponential form.

x = In(2³)

Use In(aⁿ) = n × In ( a ) to transform the expression.

x = 3In( 2 ) ≈ 2.07944

Round to four decimal places = 2.0794

PLEASE ANSWER CORRECTLY FOR BRAINLIEST:

25.

26.

27.

29.

Answers

Step-by-step explanation:

25.

[tex] \frac{t}{5} = b[/tex]

where b is the no. if 5 dollar bills.

26.

[tex]x +( x + 2) +( x + 4) = x + (x + 2)[/tex]

[tex]3x + 6 + 9 = 2x + 2[/tex]

[tex]3x + 15 = 2x + 2[/tex]

[tex]x + 15 = 2[/tex]

[tex]x = - 13[/tex]

Since x=-13 the intergers are

[tex] - 13[/tex]

[tex] - 11[/tex]

[tex] - 9[/tex]

27.

Represent the function as

[tex]x + x + 6 = 44[/tex]

[tex]2x + 6 = 44[/tex]

[tex]2x = 38[/tex]

[tex]x = 19[/tex]

The shorter piece should be 19 inches.

28.

Solve for h.

[tex]s = 2\pi \times rh + 2\pi {r}^{2} [/tex]

[tex]s - 2\pi {r}^{2} = 2\pi \times rh[/tex]

[tex] \frac{s - 2\pi {r}^{2} }{2\pi \times r} = h[/tex]

29.

[tex] \frac{16 + x}{2} \times 6 = 108[/tex]

[tex] \frac{16 + x}{2} = 18[/tex]

[tex]16 + x = 36[/tex]

[tex]x = 20[/tex]

which points lie in the second quadrant? check all that apply.

Answers

Point F

Point E

These lie in the second quadrant.

A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of the tank. Find the height of the tank. (1 liter is 1000cm3 )

Answers

Answer:

The tank is 10cm high

Step-by-step explanation:

Given

[tex]L=60cm[/tex] -- length

[tex]W=60cm[/tex] -- width

[tex]x = \frac{1}{5}[/tex] --- water lever

[tex]Addition = 24L[/tex]

Required

The height of the tank

Let y represents the remaining fraction before water is added.

So:

[tex]y + x = 1[/tex]

Make y the subject

[tex]y = 1 - x[/tex]

[tex]y = 1 - \frac{1}{5}[/tex]

Solve

[tex]y = \frac{5 - 1}{5}[/tex]

[tex]y = \frac{4}{5}[/tex]

Represent the volume of the tank with v

So:

[tex]y * v = 24L[/tex]

Make v the subject

[tex]v = \frac{24L}{y}[/tex]

Substitute: [tex]y = \frac{4}{5}[/tex]

[tex]v = \frac{24L}{4/5}[/tex]

[tex]v = 30L[/tex]

Represent the height of the tank with h;

So, the volume of the tank is:

[tex]v = lwh[/tex]

Make h the subject

[tex]h = \frac{v}{lw}[/tex]

Substitute values for v, l and w

[tex]h = \frac{30L}{60cm * 50cm}[/tex]

Convert 30L to cm^3

[tex]h = \frac{30*1000cm^3}{60cm * 50cm}[/tex]

[tex]h = \frac{30000cm^3}{3000cm^2}[/tex]

[tex]h = 10cm[/tex]

can someone do this step by step pls:)

Answers

Answer:

23

4* 4  = 16

cir = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](1.2) = 2.4[tex]\pi[/tex]

16 + 2.4[tex]\pi[/tex] = 23.53

Step-by-step explanation:

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Answers

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

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