Question

Given that f(x) = x2 + 4x – 21 and g(x) = x - 3, find f(x) · g(x) and

Answer 1

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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.

  $f(x)\cdot g(x)=(x^2+4x-21)\cdot(x-3)\\\\=(x^2+4x-21)(x)+(x^2+4x-21)(-3)\\\\=x^3+4x^2-21x-3x^2-12x+63\\\\\boxed{(f\cdot g)(x)=x^3 +x^2-33x+63}$