SOLUTION: f(x)=1/x-2 g(x)= 4/x (fog)(x) (gof)(x) please can you show me how to do this problem?

Algebra ->  Functions -> SOLUTION: f(x)=1/x-2 g(x)= 4/x (fog)(x) (gof)(x) please can you show me how to do this problem?      Log On


   

Question 51251: f(x)=1/x-2
g(x)= 4/x
(fog)(x)
(gof)(x)
please can you show me how to do this problem?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=1/x-2=y say
g(x)= 4/x =z say
(fog)(x)=f(g(x))=f(z)=1/(z-2)=1/{(4/x)-2}=2/(4-2x)=1/(2-x)
(gof)(x) =g(f(x))=g(y)= 4/y=4/{1/(x-2)}=4(x-2)
please can you show me how to do this problem?