# How do you find the inverse of #y = - |x-3| + 5#?

##### 1 Answer

Dec 13, 2017

#### Answer:

We have

The **Inverse of this function ** is

**Graph with the function and it's inverse** is available with this solution.

#### Explanation:

We have **... Equation.1**

To find the **inverse** of this function,

**Switch**

**... Equation.2**

A few observations .....

The **Inverse of f(x)** does not pass the **Vertical Line Test** and hence is **NOT a function**

The **graph of the inverse of f(x)**, **reflects the graph of y = f(x)** , **across the line #color(green)(y = x#**

The **graph with f(x) and it's inverse** is available below: