Question

Given the parent function f(x)= log10^x and g(x)= 5x-2, what is f(x) • g(x)?

Answer 1

Answer:

$5x \log_{10}(x)-2 \log_{10}(x)$

(If that closed circle is an open circle, please let me know because that means something totally different)

Step-by-step explanation:

I think you are given:

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

and that you are asked to find:

$f(x) \cdot g(x)$

That operation means multiplication. (Let me know if is an open circle because that means something difference).

$f(x) \cdot g(x)$

$(\log_{10}(x) \cdot (5x-2)$  

Distribute:

$\log_{10}(x)(5x)-\log_{10}(x)(2)$

Reorder a little (commutative property):

$5x \log_{10}(x)-2 \log_{10}(x)$