complicated mc problem, help me, my brain hurts

[maxboy0801]

this is complicated for me, may be easy for you and i dont know if i should have posted this in the advanced. here is this stupid mulitple choice problem leaving my brain hurtin...

f(x) = (1 + x)/x
g(x) = 1/(1 - x)
h(x) = 1/(1 + x)
If so, (g o f)(x) =

a. x
b. 2 - x
c. -x
d. x/(2x + 1)
e. (1 - x)/(2 - x)
f. (1 + x)/x
g. (2 - x)/(1 - x)
h. (1 - x)/x
i. 2 + x
j. none of these

 

[pka]

\(\displaystyle \L
f(x) = \frac{{1 + x}}{x}{\rm{ and }}g(x) = \frac{1}{{1 - x}}\)

\(\displaystyle \L
g \circ f(x) = \frac{1}{{1 - \left( {\frac{{1 + x}}{x}} \right)}} = ?\)

 

[maxboy0801]

is the answer i?

 

[pka]

NO!

 

[thegersters]

e ?

 

[stapel]

The idea, it is hoped, is to learn. Posting answer options one and a time, waiting for a "yes", is not the way to do that.

Please reply showing what you have tried.

Thank you.

Eliz.