SOLUTION: Just wondering what I can do on this question. Thanks for the help The composition function f(g(x)) = x^4 + 2x^2 + 1. If g(x) = x^2 then what is f(x)? Once you find f(x), fin

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Question 930518: Just wondering what I can do on this question. Thanks for the help
The composition function f(g(x)) = x^4 + 2x^2 + 1. If g(x) = x^2 then what is f(x)? Once you find f(x), find the function g(f(x)).

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Replace x^2 in the composition with g(x), based on the definition for g(x).




Formally explaining the rest is hard to do; but you see g(x) was used as replacement for the variable of f(x).
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Just wondering what I can do on this question. Thanks for the help
The composition function f(g(x)) = x^4 + 2x^2 + 1. If g(x) = x^2 then what is f(x)? Once you find f(x), find the function g(f(x)). 




You can do the check!! 

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