Question

The weight of a bacterium is defined by multiplying the functions of f(x) and g(x). Given f(x) = 6x6 + 8x and g(x) = 2x. Which of the following represents the weight of the bacterium?12x6 + 16x12x7 + 16x2-12x7 - 16x23x5 + 4

Answer 1

Given the following functions:

`\begin{gathered} f(x)=6x^6+8x \\ g(x)=2x \end{gathered}`

The weight of a bacterium is defined by multiplying the functions of f(x) and g(x).

So, the product of the functions will be as follows:

`f(x)*g(x)=(6x^6+8x)*2x`

We will use the distributive property to find the result as follows:

`\begin{gathered} f(x)*g(x)=6x^6*2x+8x*2x \\ f(x)*g(x)=12x^7+16x^2 \end{gathered}`

So, the answer will be 12x⁷+16x²