# How do you find the inverse of f(x)=5 x-2?

##### 1 Answer
Oct 5, 2015

${f}^{-} 1 \left(x\right) = \frac{- 2 - x}{5}$

#### Explanation:

Let $f \left(x\right)$ be $y$.

$y = 5 x - 2$

Make $x$ your subject.

$5 x = - 2 - y$
$x = \frac{- 2 - y}{5}$

Replace $y$ with $x$ to get your final answer.

${f}^{-} 1 \left(x\right) = \frac{- 2 - x}{5}$