# What is the domain of the function #f(x)=(x+9)/(x-3)#?

##### 2 Answers

Mar 2, 2015

The answer is:

Dec 2, 2016

The domain of the dependent variable is the spread of the variable on which it depends.

Here, the domain is

#### Explanation:

By actual division,

As

As

Likewise, the range of f is (-oo, oo)#, sans f = 1.

The lines x = 3 and y =1 are called asymptotes to the graph y = f(x)

graph{y(x-3)-x-9=0 [-80, 80, -40, 40]}