Help with two functions...

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March 18th 2013, 10:19 PM
curt26

Help with two functions...

f(x)= x/2-x and g(x)=1/x

domain f o g

Any help with this question would be much appreciated. Thank you!
March 18th 2013, 10:49 PM
Punch

Re: Help with two functions...

Quote:

Originally Posted by curt26

f(x)= x/2-x and g(x)=1/x

domain f o g

Any help with this question would be much appreciated. Thank you!

Is the question is asking for the domain of $fg$ ?

If so, then the answer is the domain of the function g(x) which has to be provided in the question.
March 18th 2013, 10:52 PM
princeps

Re: Help with two functions...

Quote:

Originally Posted by curt26

f(x)= x/2-x and g(x)=1/x

domain f o g

Any help with this question would be much appreciated. Thank you!

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

Domain : $\forall x \in \mathbb{R} ~\text{except}~ x=\frac{1}{2} ~\text{and}~x=0$
March 20th 2013, 05:02 AM
jennyking001

Re: Help with two functions...

x/2-x or x/(2-x) ?

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