Question

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

Answer 1

Multiply them. (5x − 2)*log10 x

Answer 2

the 10 after log is supposed to be down

Answer 3

like logv10

Answer 4

then x

Answer 5

I know

Answer 6

That makes no difference here though

Answer 7

i still dont understand how to get to the answer from that

Answer 8

Are you sure it isn't supposed to become f(g(x))? Because then it would be log10 (5x-2)

Answer 9

Is it a closed or open circle?

Answer 10

if f(x) = log x and g(x) = 5x − 2
then
f(x) • g(x) is just them two multiplied together.

f(x) • g(x) = (5x − 2) log x

that is your answer (you can distribute and simplify but it's fine like that imo). Unless as @BTaylor asked, you haven't posted it correctly

Answer 11

That is correct and very clear. Thanks, @agent0smith.

Answer 12

those arent in the answer choices theres
f(x) • g(x) = log10 x^(5x − 2)
f(x) • g(x) = log10 (5x − 2)^x
f(x) • g(x) = 5x log10 x + 2 log10 x
f(x) • g(x) = 2 log10 x − 5x log10 x

Answer 13

Then hopefully you know how to use some log laws... \[\Large a \log x = \log x^a\]

Answer 14

\[\Large (5x − 2) \log x = ...?\]

Answer 15

Hint.. the (5x-2) is just like the a in the previous formula.

Answer 16

so would it be b?

Answer 17

Close, but look at the formula above again and you might see your mistake