Question

The weight of a bacterium is defined by multiplying the functions of f(x) and g(x). Given f(x) = 2x² + 6x and g(x) = 12x. Which of the following represents the weight of the bacterium?

Answer 1

4th option: 24x³ + 72x²

Explanation:

We have the following functions:

`\begin{gathered} f\mleft(x\mright)=2x²+6x \\ \\ g\mleft(x\mright)=12x \end{gathered}`

We multiply them and obtain the following:

`\begin{gathered} f(x)\cdot g(x)=\left(2x^2+6x\right)\cdot12x \\ \\ f(x)\cdot g(x)=24x^3+72x^2 \end{gathered}`

Therefore, the correct answer is 4th option: 24x³ + 72x²