Question

Find an equation for the inverse of y= 2/3x-5

Answer 1

In order to find the inverse of the given function, proceed as follow:

let x as y and y as x in the given equation:

`x=(2)/(3)y-5`

Solve for y the previous equation:

`\begin{gathered} x=(2)/(3)y-5 \\ x+5=(2)/(3)y \\ (3)/(2)(x+5)=y \\ y=(3)/(2)(x+5) \end{gathered}`

The previous result for y is the inverse function of the original equation:

`f^-(x)=(3)/(2)(x+5)`