9514 1404 393
Answer:
(f·g)(x) = x^3 +x^2 -33x +63
Step-by-step explanation:
The product of the two functions can be found using the distributive property.
[tex]f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}[/tex]
