Question

Find the Domain and Range of the function

Answer 1

\[f(x)=\frac{ x+3x^2 }{ x^2-x-2 }\]

Answer 2

Domain:
Denominator cannot be zero.
Factor the denominator and find x values that would make denominator zero.
The domain can be any real number except those values that makes the denominator zero.

Answer 3

To find the range, are you allowed to use a graphing calculator?

If not there is a long-winded way to find the range.

Answer 4

Thank you :)

Answer 5

You are welcome.