Question

If f(x) = 2x, g(x) = x^2 + 4, what is the value of (f x g) (x)?

Answer 1

The product of functions f(x) and g(x) is:

`(f* g)(x)=f(x)g(x)`

Substitute the expressions for the functions:

`(f* g)(x)=(2x)(x^2+4)`

Expand the expression on the right:

`(f* g)(x)=2x^3+8x`