Question

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

Answer 1

`\log_(10)x \cdot (3x-1)` or

`3x \log_(10) x -\log_(10) x`

Explanation:

Given the parent function:

`f(x) =\log_(10) x` and
`g(x)=3x-1`

we have to find
`f(x) \cdot g(x)`

`f(x) \cdot g(x)`

⇒
`(\log_(10)x) \cdot (3x-1)`

⇒
`\log_(10)x \cdot (3x-1)`

or

we can write this as:

`3x \log_(10) x -\log_(10) x`

Therefore, the result of
`f(x) \cdot g(x)` we get,
`\log_(10)x \cdot (3x-1)` or
`3x \log_(10) x -\log_(10) x`

Answer 2

we are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.