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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Given the parent functions f(x) = log10 x and g(x) = 5x - 2, what is f(x).g(x)?
Solution:
It is given that the two parent functions are:
f(x) = log10 x
g(x) = 5x - 2
We have to find f(x).g(x)
f(x).g(x) = log10x.(5x - 2)
By further calculation
= log10x (5x) + log10 x (-2)
So we get
= 5x log10 x - 2 log 10 x
Therefore, f(x).g(x) = 5x log10 x - 2 log 10 x.
Given the parent functions f(x) = log10 x and g(x) = 5x - 2, what is f(x).g(x)?
Summary:
Given the parent functions f(x) = log10 x and g(x) = 5x - 2, f(x).g(x) is 5x log10 x - 2 log 10 x.
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