# How do you find the inverse of y=(4x+2)/(x-7)?

Dec 1, 2015

$x = \frac{7 y + 2}{y - 4}$

#### Explanation:

You must isolate $x$ in terms of $y$: multiply both sides by $x - 7$:

$\left(x - 7\right) y = 4 x + 2$

$x y - 7 y = 4 x + 2$

$x y - 4 x = 7 y + 2$

$x \left(y - 4\right) = 7 y + 2$

$x = \frac{7 y + 2}{y - 4}$