HELP ASAP HARDISH MATH QUESTION:?
I need help with a challenging math question. Given the parent functions f(x) = log10(x) and g(x) = 5x - 2, how can I evaluate the expression f(x) • g(x)?
I have considered the following options for f(x) • g(x):
- 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)
Could you please clarify which of these options is correct and provide an explanation for the solution? Thank you!
2 Answers
See the link for an explanation. http://www.mathsisfun.com/sets/functions-compositi…
So if you mean (f º g)(x), then it is f( g(x)), which if you think about it as f(g) = log[10](g), so then f(g(x)) = log[10](5x – 2), and I do not see that as one of your choices.
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