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

+√ (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

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