Question

The domain for f(x) and g(x) is the set of all real numbers.Let f(x) = 3x + 5 and g(x) = x2.Find f(x) · g(x).3x^2+53x^3+3x^2+5X^2-3x-53x^3+5x^2

Answer 1

In general,

`\begin{gathered} (fg)(x)=f(x)*g(x) \\ \end{gathered}`

Thus, in our case,

`\Rightarrow(fg)(x)=(3x+5)*(x^2)=3x^3+5x^2`

Therefore, the answer is 3x^3+5x^2, the fourth option (top to bottom).