# Math Help - What is the inverse of this function

1. ## What is the inverse of this function

I don't know how to invert functions like this.

$\begin{cases}\frac{-x^2}{2}+\frac{1}{2} & x\leq 0 \\ \frac{x^2}{2}+\frac{1}{2} & x> 0 \end{cases}$

2. ## Re: What is the inverse of this function

make a quick sketch of it and solve for the inverse for $y<\frac{1}{2}$ and for $y\geq \frac{1}{2}$ separately.