Given the following functions:
[tex]\begin{gathered} f(x)=6x^6+8x \\ g(x)=2x \end{gathered}[/tex]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:
[tex]f(x)*g(x)=(6x^6+8x)*2x[/tex]We will use the distributive property to find the result as follows:
[tex]\begin{gathered} f(x)*g(x)=6x^6*2x+8x*2x \\ f(x)*g(x)=12x^7+16x^2 \end{gathered}[/tex]So, the answer will be 12x⁷+16x²
