Question

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

Answer 1

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. 

Answer 2

Answer:

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

$3x \log_{10} x -\log_{10} x$

Step-by-step 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 $3x \log_{10} x -\log_{10} x$