Question

Let f(x) = x2 − 16. find f−1(x). open study

Answer 1

+√(x+16) = f^-1(x). 

Switch out f(x) with y
Swap y and x, so it's x=y^2-16
Add 16 to both sides. x+16=y^2
Find the square root of both sides...
√x+16 = √y^2

Answer 2

Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y