Let f(x) = x^2+x+2 and g(x) = 2x^2+5. Find f(g(x)). Show each step of your work.

asked Jul 20, 2016 166k views

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$f(g(x))=f(2x^2+5)\\f(2x^2+5)=(2x^2+5)^2+(2x^2+5)+2\\f(2x^2+5)=(4x^4+20x^2+25)+2x^2+7\\f(2x^2+5)=4x^4+22x^2+32$

4x^4+22x^2+32

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