Question

What is the inverse function for h(x) =
`√(x+7) -1`

Answer 1

Explanation:

`y = √(x + 7) - 1`

Replace x and y.

`x = √(y + 7) - 1`

Solve for y.

`x + 1 = √(y + 7)`

Square both sides.

`(x + 1) {}^(2) = y + 7`

`(x + 1) {}^(2) - 7 = y`

This is the inverse function or you can also say

`{x}^(2) + 2x - 6 = y`