Question

Find f^-1 (x) using the function given

Answer 1

`f^(-1)(x)=√(x+5)`

Explanation:

Interchange x and y, then solve for y.

`x = y^2 -5\\\\x+5=y^2\\\\√(x+5)=y\\\\f^(-1)(x)=√(x+5)`

_____

The attached graph shows the function f(x) and its inverse g(x). They are reflections of each other across the line y=x, as they should be.