Question

Given the parent functions f(x) = log10 x and g(x) = 5x − 2, what is f(x) • g(x)?

Answer 1

`f(x)\cdot g(x)=5x\log_(10) x-2\log_(10) x`

Explanation:

Given : The parent functions
`f(x) =\log_(10) x` and
`g(x) = 5x-2`

To find : What is
`f(x)\cdot g(x)`

Solution :

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

Step 1: Substitute the values of f(x) and g(x)

`f(x)\cdot g(x)=\log_(10) x\cdot (5x-2)`

Step 2: Multiply every element of f(x) with every element of g(x)

`f(x)\cdot g(x)=\log_(10) x(5x)+(\log_(10) x)(-2)`

Step 3: Simplify and solve

`f(x)\cdot g(x)=5x\log_(10) x-2\log_(10) x`

Answer 2

hello

f(x) · g(x) = f·g(x) = (log x)(5x-2) = 5x(logx) -2logx

I changed log base 10 to just log for simplicity.

Have a nice day :D