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

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 431 People

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

f(x) g(x) = log10 x3x - 1

f(x) g(x) = 3x log10 x + log10 x

f(x) g(x) = log10 x - 3x log10 x

Answered by maham237 @ 25/12/2020

Answer:

Option (b) is correct.

The value of $f(x)g(x)=log_{10}x(3x-1)$

Step-by-step explanation:

Given functions $f(x)=log_{10}x$ and $g(x)=3x-1$

We have to find $f(x)g(x)$

We know $f(x)g(x)=f(x) \cdot g(x)$

Thus, $f(x) \cdot g(x)=log_{10}x \cdot (3x-1)$

Thus, solving further we get,

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

Thus, the value of $f(x)g(x)=log_{10}x(3x-1)$

Thus, Option (b) is correct.

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