SOLUTION: I need help solving the following equations f(x)=(5)/(x+2) and g(x)=(9)/(x) Find f(g(x)) g(f(x)) f(f(x)) g(g(x))

Question 677380: I need help solving the following equations
f(x)=(5)/(x+2) and g(x)=(9)/(x)
Find
f(g(x))
g(f(x))
f(f(x))
g(g(x))
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=(5)/(x+2) and g(x)=(9)/(x)
Find
f(g(x)) = f[9/x) = 5/((9/x)+2) = 5/(9+2x)/x = 5x/(9+2x)
--------------------------------
g(f(x)) = g(5/(x+2)) = 9/[5/(x+2)] = (9x+18)/5
--------
Can you handle the rest?
Cheers,
Stan H.
=============
f(f(x))
g(g(x))

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