Question

What is the inverse of the equation

`y = 3x - 2`

Answer 1

to get the inverse of any expression, we start off by doing a quick switch of the variables, then we solve for y, so

`\bf y=3x-2\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=3\underline{y}-2}\implies x+2=3y\implies \cfrac{x+2}{3}=\stackrel{f^(-1)(x)}{y}`