Question

Let f(x)=3x+1 and g(x)=x^2+xAfter simplifying (fg)(x)

Answer 1

$(fg)(x)\text{ = }3x^3+4x^2+x$

Here, we want to find the product of the two given functions

Mathematically;

$\begin{gathered} (fg)(x)\text{ = f(x) }\times\text{ g(x)} \\ \\ =(3x+1)(x^2+x) \\ =3x^3+3x^2+x^2+x \\ =3x^3+4x^2+x \end{gathered}$