Question

How do you find the inverse of `f(x)= x^2-7`?

Answer 1

`f^-1(x)=sqrt(x+7)`

Explanation:

consider, `f(x)=y`
i.e. `y=x^2-7`
or, `x=sqrt(y+7)`

now interchange `x` and `y` for inverse
i.e `f^-1(x)=sqrt(x+7)`