# How do you find the domain and range of F (X) = (4)/(x-3)?

Aug 2, 2015

y = 4/(x - 3)

#### Explanation:

When x = 3 --> y goes to $\pm \in f \in i t y$.
When $x = \pm$ infinity, y --> 0.
y-intercept when x = 0 --> $y = - \frac{4}{3}$
graph{4/(x - 3) [-10, 10, -5, 5]}
Domain of x: (-infinity, 3)) and (3, +infinity)
Range of y: (-infinity, 0) and (0, +infinity)