SOLUTION: I have to find the inverse of g(x) = the square root of x -4 In order to find the inverse you switch the x and y. x = square root of y

SOLUTION: I have to find the inverse of g(x) = the square root of x -4 In order to find the inverse you switch the x and y. x = square root of y - 4 I have to get the y by itself,

Question 54929: I have to find the inverse of g(x) = the square root of x -4
In order to find the inverse you switch the x and y.
x = square root of y - 4
I have to get the y by itself, so I squared both sides, leaving me with:
x^2 = y - 4
x^2 + 4 = y
Is this the final answer?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Yes, you did it correctly, but you should finish the problem by replacing y with so you have:

To check you solution, remember that:
and
Let's look at the first check:

Simplifying this, you get:
This checks out fine.
Now we'll do the second check:

Simplifying this, you get:
This also checks.
RELATED QUESTIONS
How do you find the inverse of f(x)= 1/(x^2) or f(x)=1/(x^3)? I don't really have a... (answered by ankor@dixie-net.com)

Find the inverse of... (answered by Cromlix)

Find the inverse of y = (3x) / (x-2) and state the domain of the inverse. I have tried (answered by RAY100,scott8148)

The one to one function g is defined by g(x)= 5x/x-9 Find g-1 x and domain and range of... (answered by josgarithmetic)

I need help finding the inverse of f(x) i just dont really understand how to do it. For (answered by Alan3354)

What is the inverse of y=2x+1 my work: x=2y+1 I just want to make sure all I... (answered by KMST)

can you help me find the inverse of the function g(x)= 4/(x-3) (answered by 303795)

Find the inverse of f(x)=2^x. Here is where I went with this. Change f(x) to y so it... (answered by Alan3354,lynnlo,Edwin McCravy)

Im not sure if I chose the correct topic but could you please help me solve this... (answered by jim_thompson5910)