# Math Help - Find the domain of the composite function fxg

1. ## Find the domain of the composite function fxg

f(x)=3/x-1;g(x)=2/x

i don't get how this works..

2. Originally Posted by FinalFantasy9291
f(x)=3/x-1;g(x)=2/x

i don't get how this works..
Is $f(x)= \frac{3}{x-1}$

or $\frac{3}{x}-1$ ???

3. the first one

4. $f\circ g(x)= \frac{3}{\frac{2}{x}-1}=\frac{3x}{2}-3$

So it can accept any real or complex argument

5. Originally Posted by Greengoblin
$f\circ g(x)= \frac{3}{\frac{2}{x}-1}=\frac{3x}{2}-3$

So it can accept any real or complex argument
Correction: $\frac{3}{\frac{2}{x}-1}= \frac{3x}{2 - x}$.

6. Ooops my mistake, so the domain is $\{x\in\mathbb{R}:x\ne 2\}$ that certainly makes more sense.