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

i don't get how this works..

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- Oct 5th 2008, 11:15 AMFinalFantasy9291Find the domain of the composite function fxg
f(x)=3/x-1;g(x)=2/x

i don't get how this works.. - Oct 5th 2008, 11:29 AMShyam
- Oct 5th 2008, 11:32 AMFinalFantasy9291
the first one

- Oct 7th 2008, 03:06 AMGreengoblin
$\displaystyle f\circ g(x)= \frac{3}{\frac{2}{x}-1}=\frac{3x}{2}-3$

So it can accept any real or complex argument - Oct 7th 2008, 03:12 AMmr fantastic
- Oct 7th 2008, 03:30 AMGreengoblin
Ooops my mistake, so the domain is $\displaystyle \{x\in\mathbb{R}:x\ne 2\}$ that certainly makes more sense.(Giggle)