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meerkat18

we are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.

Answer:

\(\log_{10}x \cdot (3x-1)\) or

\(3x \log_{10} x -\log_{10} x\)

Step-by-step explanation:

Given the parent function:

\(f(x) =\log_{10} x\) and \(g(x)=3x-1\)

we have to find \(f(x) \cdot g(x)\)

\(f(x) \cdot g(x)\)

⇒\((\log_{10}x) \cdot (3x-1)\)

⇒\(\log_{10}x \cdot (3x-1)\)

or

we can write this as:

\(3x \log_{10} x -\log_{10} x\)

Therefore, the result of \(f(x) \cdot g(x)\) we get, \(\log_{10}x \cdot (3x-1)\) or \(3x \log_{10} x -\log_{10} x\)

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