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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?

The weight of a bacterium is defined by multiplying the functions of fx and gx Given fx 2x 6x and gx 12x Which of the following represents the weight of the bac class=

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ANSWER:

4th option: 24x³ + 72x²

STEP-BY-STEP EXPLANATION:

We have the following functions:

[tex]\begin{gathered} f\mleft(x\mright)=2x²+6x \\ \\ g\mleft(x\mright)=12x \end{gathered}[/tex]

We multiply them and obtain the following:

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

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

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