Question

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

Answer 1

Option (b) is correct.

The value of
`f(x)g(x)=log_(10)x(3x-1)`

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.