# How do you find the inverse of F(x)=4x-4?

Oct 10, 2015

${F}^{-} 1 \left(x\right) = \frac{x + 4}{4}$

#### Explanation:

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

$y = 4 x - 4$

Make $x$ the subject of the equation.

$4 x = y + 4$
$x = \frac{y + 4}{4}$

Change the $y$ to $x$ in your final answer.

${F}^{-} 1 \left(x\right) = \frac{x + 4}{4}$