Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

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13-11-2018
Mathematics

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Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

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Tucon Tucon · Answer 1 · 2018-11-13T19:21:37+01:00

Tucon Tucon

13-11-2018

[tex]\displaystyle\\\text{We use the formula:}~~\log_a x^b = b\log_a x\\\\f(x)=\log_{10}x\\ \\g(x)=3x-1\\\\f(x)\cdot g(x)=(\log_{10}x) \cdot (3x-1)=(3x-1)\cdot \log_{10}x=\boxed{\log_{10}x^{3x-1}}[/tex]

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