What is (f⋅g)(x)?

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1 Answer
Apr 30, 2018

#x^6+6x^4+8x^2+2#

Explanation:

The question is essentially asking us for #f(g(x))#. #color(blue)(g(x))# is the inner function, so we'll be inputting that into #color(lime)(f(x))#. We get:

#color(blue)((x^2+2))^color(lime)(3)color(lime)(-4)color(blue)((x^2+2))+color(lime)(2)#

We can multiply this out and it'll simplify to

#x^6+6x^4+8x^2+2#

Hope this helps!