Question

Let f(x) = x2 − 16. Find f−1(x)

Answer 1

Answer:

$f^{-1}(x)=\pm\sqrt{x+16}$

Step-by-step explanation:

$f(x)=x^2-16$

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

$y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}$

Now, you can swap the variables again and write the function.

$f^{-1}(x)=\pm\sqrt{x+16}$