1) Operating functions
f(x)=x³-x
g(x)= -2x-4
2) Operating f * g(x)
Let's plug it into the f(x) and the g(x) their functions
(f×g)(x)= (x³-x) (-2x -4) Applying the distributive property
[tex]\begin{gathered} f\cdot g(x)=(x^3-x)(-2x-4) \\ f\cdot g(x)=-2x^4-4x^3+2x^2+4x \end{gathered}[/tex]