To find (f *g)(x), we need to multiply both functions as:
[tex]\begin{gathered} (f\cdot g)(x)=f(x)\cdot g(x) \\ (f\cdot g)(x)=(x^2-10x-11)(x+1) \end{gathered}[/tex]So, applying distributive property, we get:
[tex]\begin{gathered} (f\cdot g)(x)=(x^2\cdot x)+(x^2\cdot1)-(10x\cdot x)-(10x\cdot1)-(11\cdot x)-(11\cdot1) \\ (f\cdot g)(x)=x^3+x^2-10x^2-10x-11x-11 \end{gathered}[/tex]Adding like terms, we get:
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