Question

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

Answer 1

f(x) ⋅ g(x) = log10x^(5x − 2)

Explanation:

Answer 2

`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)

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)`