# How do you find the domain and range of #f(x) = (x-2)/(x+1)#?

##### 2 Answers

The domain is restricted as the denominator cannot be zero.

i.e. if x + 1 = 0, then x = -1

Hence, the domain can take all real values except x = -1

i.e.

or,

as x gets very small or very big, 3/(x + 1) tends towards zero

i.e. f(x) approaches a limit of 1

Hence, the range of f(x) takes all real values except 3

:)>

The domain of

The range of

#### Explanation:

As you cannot divide by

The domain of

To find the range, we need

Let

Interchange

We rewrite

So,

The domain of

This is the range of