Question

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

Answer 1

Answer:

$f(x)\cdot g(x)=5x\log_{10} x-2\log_{10} x$

Step-by-step 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