Answer:
[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^3+3[/tex]
[tex]g(x)=2x^2+x-1[/tex]
Therefore:
[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]
