Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 150845: Kindly help me to solve the fg(x). These are the only given facts, f(x)=x^2/(1+x); g(x)=x^2-2.: Kindly help me to solve the fg(x). These are the only given facts, f(x)=x^2/(1+x); g(x)=x^2-2.
Answer by vleith(1156) About Me  (Show Source):
You can put this solution on YOUR website!
Plug the value of g(x) into f(x) and then expand and simplify
f(x)=x^2/(1+x)
g(x)=x^2-2

f(g(x))=(x^2-2)^2/(1+x^2-2)
Thre really isn't much more you can do with this one. Expanding it makes it longer and removes the ^2, but doesn;t wind up with am=ny factors that cancel with the denominator. I will stop at
f(g(x))=(x^4-4x^2 +4)/(x^2-1)