# How do you find the range of a rational function algebraically y=(-4x-3)/(x-2)?

Apr 9, 2018

the range is all reals except when $y = - 4$

#### Explanation:

$y = \frac{- 4 x - 3}{x - 2}$

$y = \frac{- 4 \left(x - 2\right) - 11}{x - 2}$

$y = - 4 - \frac{11}{x - 2}$

Therefore, the range is all reals except when $y = - 4$