The function 5x log(5x) + 4log(5x) defines (g•f)
We have given that,
A. (g•f)(x)= 5x log(5x) + 4log(5x)
B. (g•f)(x) = 5x + 4 + log(5x)
C. (g•f)(x) = 5x – 4 – log(5x)
D. (g•f)(x) = 5x log(5x) + 4
We have to determine which function defines (g•f)
Where f(x)=log(5x) and g(x)=5x+5
What is the multiplication function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)
(5x+4)(log(5x))=5x(log(5x))+4(log(5x))
Therefore the option A is correct.
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