Question

What is the inverse of the function f (x) = x2 - 49?

Answer 1

Answer: $f^{-1}(x)=\sqrt{x+49}$

Step-by-step explanation:

To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.

y=x²-49                            [switch x with y and y with x]

x=y²-49                            [add both sides by 49]

x+49=y²                           [square root both sides]

$y=\sqrt{x+49}$

Now, we know that $f^{-1}(x)=\sqrt{x+49}$.