Question

Perform the indicated operation.
f(x) = x^3 + 5x
g(x) = 4x
Find (f . g)(x)

Answer 1

Explanation:

`f(x) = {x}^(3) + 5x \\ g(x) = 4x \\ \\ \therefore \: (f.g)(x) = f(x) . g(x) \\ = ( {x}^(3) + 5x ).4x \\ = {x}^(3) .4x + 5x.4x \\ \red{{ \boxed{\bold{\therefore \: (f.g)(x) = 4 {x}^(4) + 20 {x}^(2) }}}}`