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.
