Question

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

Answer 1

Answer:
`f^(-1)(x)=√(x+49)`

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=√(x+49)`

Now, we know that
`f^(-1)(x)=√(x+49)`.