Question

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

Answer 1

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.