Answer
$f(x)\cdot g(x) = 2x^2 +28x$
Work Step by Step
In this problem, we are asked to multiply two functions together. Let us go ahead and set up the multiplication problem, separating the two functions with parentheses:
$f(x)\cdot g(x) = (4x)(\frac{1}{2}x + 7)$
Use distributive property to multiply the monomial with each term of the binomial:
$f(x)\cdot g(x) = (4x)(\frac{1}{2}x) +(4x)(7)$
Multiply to simplify:
$f(x)\cdot g(x) = \frac{4x^2}{2} +28x$
Divide numerator and denominator by their greatest common factor, which is $2$, in this case:
$f(x)\cdot g(x) = 2x^2 +28x$
