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!