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# What is (f*g)What is (f⋅g)(x)?

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What is (f⋅g)(x)?

f(x)=x3−4x+2

g(x)=x2+2

Jun 3, 2018

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$$(f\cdot g)(x)=f(x)\cdot g(x)$$

I attest that the notation is funky. It should be relatively simple from here.

 $$f(x)=x^3-4x+2\\ g(x)=x^2+2$$ Just multiply them together. $$(f\cdot g)(x)=(x^3-4x+2)(x^2+2)$$ Now, you are on a mission to find the product of the trinomial and binomial. $$(f\cdot g)(x)=x^5\textcolor{red}{-4x^3}+2x^2\textcolor{red}{+2x^3}-8x+4$$ Now, combine any existing like terms, which I highlighted for you in red. $$(f\cdot g)(x)=x^5-2x^3+2x^2-8x+4$$
Jun 3, 2018