For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
O 0760) = (+)+2
O 011(x) = (+) --

Answers

Answer 1

Answer:

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 10\sqrt{x - 2[/tex]

Required

Determine the inverse function

[tex]g(x) = 10\sqrt{x - 2[/tex]

Replace g(x) with y

[tex]y = 10\sqrt{x -2[/tex]

Swap the positions of x and y

[tex]x = 10\sqrt{y -2[/tex]

Divide through by 10

[tex]\frac{x}{10} = \sqrt{y - 2[/tex]

Square of both sides

[tex]\frac{x^2}{100} = y - 2[/tex]

Make y the subject

[tex]y = \frac{x^2}{100} +2[/tex]

Replace y with g'(x)

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]


Related Questions

Someone know this? Pls I really need help

Answers

Answer:

Step-by-step explanation:

d₃₄  = Value in the 3rd row and 4th column

      = 0

m₁₃ = Value in the 1st row and 3rd column

     = 2

k₂₁ = Value in the 2nd row and 1st column

     = 1

1. Write an integer that can
represent 200 years ago?


Answers

200 ??

200 is an integer

or 20

or 2

Please help, brainliest for correct answer

Answers

Answer:

The correct answer is m∠2 = 120°

Step-by-step explanation:

There is a triangle rule that states the outer angle of an angle in a triangle is equal to the sum of the remaining two angles in that triangle, which means that m∠2 = 52° + 68° = 120°. This can be proven correct because the sum of two of the angles in the triangle is 120°, which means the final angle is 60°. Since m∠2 is the outer angle of 60°, that means it will be 180° - 60° or 120°.

Answer:

m<2+= 60

Step-by-step explanation:

Use the formula SA = 2(lw) + 2(wh) + 2(lh) to find the surface area for a rectangular prism with the L of 2.1 yd, a width w of 1.86 yd, and a high h of 6 yd. ​

Answers

Answer:

SA = 19.92 yd²

Step-by-step explanation:

SA = 2(2.1) + 2(1.86) + 2(6) = 19.92 yd²

5
Given volume of rectangular prism is 432 m.
h
12 m
4 m
Find height?

Answers

Answer:

9m

Step-by-step explanation:

volume = length x width x height so

432 / 12 / 4 = 9

Find a value of k such that kx2 + 12x − 4 = 0 has one real-number solution. Explain.

Answers

Answer: if x is to the 2 power then

kx^2+12x-4=0         Add 4 to the both sides

kx^2+12x=4             Divide both sides by 12

kx^2=1/3x                square root the both sides

k=0.6x

Step-by-step explanation:

The answer is 0.6!

Explanation

A store purchased glass vases for $4.50 and sold them for $7.58. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).

Answers

Answer:

30%

Step-by-step explanation:

jusr subtract

HELp! WILL GIVE BRANLIEST

Answers

Answer:

330

Step-by-step explanation:

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Mrs. Sleet said he was skinny as a rail and it looked like he hadn’t been ___
right. She gave
him his first pair of _____

please fill in the blank this is from buddy not buddy chapter 11 :)
please help

Answers

Answer:

fed,  slippers

Step-by-step explanation:

I'll add a photo of the problem! ​

Answers

I’m pretty sure it is D ngl

A paper weight is made in the shape of a triangular pyramid. The dimensions of the paper weight are shown. A triangular pyramid. The base has a base of 9 centimeters and height of 6 centimeters. The height of the pyramid is 7 centimeters. [Not drawn to scale] The formula for the volume of a triangular pyramid is V = one-third B h. Which expression can be used to find the value of B, the area of the base of the pyramid? B = one-half (9) (6) B = (9) (6) B = one-third (9) (7) B = (9) (7)

Answers

Answer:

B=one half (9) (6)

Step-by-step explanation:

I took the test

ALGEBRA

identify the terms, coefficients, and constants in the expression.

3p^2+7

Answers

The answer is 5.62 i think.

THIS IS SEINCE TOPIC : ANIMALS!!! ( it doesn’t let me change the subject. )

Answers

Answer:

J

Step-by-step explanation:

Answer:

Pretty sure like 99% sure it's G. Hope this helps!

someone please help with this question!! i will give you brainly if it’s right

Answers

Answer:

2000 ft

x= 175/ tan5 which is approximately 2000.

5. Casey's bank account offers him 2% interest every year, given by the equation
g(x)= 1.02. If Casey deposits $5,625 in his bank account, which equation
represents the amount of money that will be in his account after 2 years?

Answers

Answer:

Casey will have 5852.25 in his bank account after 2 years.

Step-by-Step Explaination:

2%=0.02

0.02*5625=112.5

112.5+5625=5737.5

0.02*5737.5=114.75

114.75+5737.5=5852.25

44,652 divided by 47

Answers

Answer: 950. 042553

Step-by-step explanation: Calculator

Please help will give brainliest

Answers

Answer:

angle a+angle b+angle c=180°

90°+38°+angle c=180°

128°+angle c=180°

angle c=180°-128°

angle c =52°

52°+n°=180°

n=180°-52

n=128°

I will give brainlyist and extra points for correct answer ( no links )

Answers

Answer:

7. 56

8. 117

Step-by-step explanation:

7.

Add the lengths of the sides. Each square on the grid has side 2 units.

9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56

8.

Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.

Area of trapezoid = (1/2)(b1 + b2)h

area = (1/2)(15 + 11)(9) = 117

Here is an expression:3.2t solve the equation when t=4

Answers

Answer:

3.2 x 4 = 12.8

therefore your answer will be 12.8

Choose all the weights that are equal to 1 ton 200 pounds.

A.
35,000 ounces

B.
1,200 pounds

C.
2,200 pounds

D.
1,200 pounds 100 ounces

E.
1 ton 100 pounds 1,600 ounces



PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWER IF U DONT I WONT RATE BRAINLYEST IF U DONT U DUM

Answers

C and E i did it and got it right and Np

which of the following values are solutions to the ineuality x-7<5

Answers

Answer:

x>12

Step-by-step explanation:

A pride of lions is growing at a rate of 0.5% per year, compounded continuously. If the growth rate continues, how large will
the pride be after 100 years if it starts with 50 lions. Round your answer to the nearest lion.
Provide your answer below:

Answers

Answer:

the answer is 52 Lions

Step-by-step explanation:

I think that's the answer if I'm wrong please tell me if I'm wrongI can ask the people who are around me.

Answer:

82

Step-by-step explanation:

Help me I need this really bad and I need a good grade I’m behind on school

Answers

Answer:

If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.

The number 2 represents the number of whole apples each individual gets.

The denominatior, 3, represents how many times an apple will have to be split to divide equally

The numerator, 1, represents how many 3rds each person gets.

Name: LESTER GREEN Class: NIGHT SCHOOL Complete with the missing letters and then colour. ED BAK _LU GRE_ W_ _TE PN B_O_N GR. N. a ELL__ RE_ OR N E PURP__ i havourite Colours​

Answers

Black Green
Blue Yellow
Green Red
White Orange
Pink Purple
Brown

Eric went for a car rental for the weekend. He can choose one of two plants. The first plant has an initial fee of $44 and cost an additional $.12 per mile driven. The second plan has an initial fee of $57 and cost an additional eight cents per mile driven. For what amount of driving do the two plants cost the same?

Answers

Answer:

325

Step-by-step explanation:

.12x + 44 = .08x + 57

.04x = 13

x= 325

What is the missing length?
A. 15
B. 30
C. 8
D. 7

Answers

Answer:

red and blue are not a Selection!!!!!

I need some help!! I wil try to give brainliest!!!

Answers

C Bill drove at a rate that was 10 mph faster than the rate Kevin drove

Someone help me with this please I will mark Brainliest if correct.

Answers

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Determine whether the point (7,4) is on the circle, or inside or outside the circle x^2+y^2=62

Answers

Answer:

Outside.

Step-by-step explanation:

7^2 + 4^2 = 62

65 does not equal 62 so outside of the circle.

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