Question

F(x) = –2x2 + 4x and g(x) = x2 + 18x + 77.
What is (f•g)(x) in standard form?

Answer 1

Explanation:

I take it this is meant to be a multiplication, right ?

not a "function of function", which would be symbolized by a little empty circle.

to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.

(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =

= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =

= -2x⁴ - 32x³ - 82x² + 308x