# How do you find the inverse of y-3x=0?

Feb 5, 2016

${f}^{-} 1 \left(x\right) = \frac{x}{3}$

#### Explanation:

1. Rearrange the equation in the form y=mx+b.

$y - 3 x = 0$

$y = 3 x$

2. Switch the positions of x and y.

$x = 3 y$

3. Isolate for y.

$y = \frac{x}{3}$

4. Rewrite the equation using inverse function notation.

$\textcolor{g r e e n}{{f}^{-} 1 \left(x\right) = \frac{x}{3}}$