# How do you find the inverse of f (x) = 1/3 x +2 ?

Dec 16, 2015

$\textcolor{w h i t e}{\times} {f}^{-} 1 \left(x\right) = 3 x - 6$

#### Explanation:

$\textcolor{w h i t e}{\times} f \left(x\right) = \frac{1}{3} x + 2$

$\implies y = \frac{1}{3} x + 2$
$\implies \frac{1}{3} x + 2 \textcolor{red}{- 2} = y \textcolor{red}{- 2}$
$\implies \textcolor{red}{3 \times} \frac{1}{3} x = \textcolor{red}{3 \times} \left(y - 2\right)$
$\implies {f}^{-} 1 \left(x\right) = 3 x - 6$