Confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x.
f(x)=(x-7)/(x+3) g(x)=(-3x-7)/(x-1)

Question

Confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x. 
f(x)=(x-7)/(x+3)      g(x)=(-3x-7)/(x-1)

anonymous · Answer

Complicated but doable.

Sometimes can show A and A' are inverses by showing A*A' = 1.
That does not fit the instructions, but could be interesting.

(x-7)*(x-1)/(x+3)(-3x-7) = (x^2 -8x +7)/(-3x^2-16x-21) 

well, that certainly does not = 1 !

anonymous · Answer

lol so what am I supposed to do?

anonymous · Answer

Go through the tedious process of substituting f(x) into each x in g(x).
The substitute g(x) for each x in f(x). and you should find g(f(x))=x and f(g(x))=x if the hypothesis and instructions are true.

anonymous · Answer

Everytime I try I end up with some crazy stuff. 
I start out like this:
(x-7)/(x+3) and try to change replace the x's with the g(x)
[(-3x-7-7)/(x-1)]/[(-3x-7+3)/(x-1)
and it gets hectic from there

anonymous · Answer

It does get hectic. I'm glad it's someone else's problem! Good luck.

anonymous · Answer

Lol gee thanks.