Question

How do you find the inverse of the function: `f(x)= 6+ sqrt(x+7)`?

Answer 1

Inverse of `f(x)=6+sqrt(x+7)` is `g(x)=(x-6)^2-7`

Explanation:

Let `y=f(x)=6+sqrt(x+7)`

then `sqrt(x+7)=y-6`

and `x+7=(y-6)^2`

and `x=(y-6)^2-7`

Hence, inverse of `f(x)=6+sqrt(x+7)` is `g(x)=(x-6)^2-7`