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Vladimir Sinenko · Answer 1 · 2023-03-04T07:37:15+0000

Given the Functions

$\begin{gathered} f(x)=5x+5 \\ g(x)=6x^2 \end{gathered}$

Find: (fg)(x).

It's required to find the product of f and g, thus:

$\begin{gathered} (fg)(x)=(5x+5)(6x^2) \\ (fg)(x)=30x^3+30x^2 \end{gathered}$

The domain of this function is the set of all real numbers because x can take any real value and the function will exist, thus the answer is (third choice):

$\begin{gathered} 30x^3+30x^2 \\ \text{Domain: } \\ (-\infty,+\infty) \end{gathered}$

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