SOLUTION: find f(g(x)) and g(f(x)) and their domains. f(x) = 4/(1-5x) and g(x) = 1/x I think i have f(g(x)) correct at 4x/(x+5) but I'm not sure if I am doing it correctly. Can someone sh

Question 951517: find f(g(x)) and g(f(x)) and their domains.
f(x) = 4/(1-5x) and g(x) = 1/x
I think i have f(g(x)) correct at 4x/(x+5) but I'm not sure if I am doing it correctly. Can someone show me the steps, not just an answer. thank you
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We are asked to find f(g(x)) and g(f(x)) and their domains.
f(x) = 4/(1-5x) and g(x) = 1/x
1) f(g(x)) = 4/(1-5*(1/x)) = 4 / ( (x-5) / x ) = 4x / (x-5)
domain is all real numbers except x = 5
2) g(f(x)) = 1 / (4/(1-5x)) = (1-5x) / 4
domain is all real numbers

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