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)).  
<pre><font face = "Tohoma" size = 4 color = "indigo"><b>{{{highlight_green(f(x) = x^2 + 2x + 1)}}}
{{{highlight_green(g(f(x)) = g(x^2 + 2x + 1) = x^4 + 4x^3 + 6x^2 + 4x + 1))}}}
You can do the check!! 
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