Which function defines (g•f)?
f(x)= log(5x)
g(x) = 5x + 4

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

Which function defines gf fx log5x gx 5x 4 A gfx 5x log5x 4log5x B gfx 5x 4 log5x C gfx 5x 4 log5x D gfx 5x log5x 4 class=

Respuesta :

Answer:

A

Step-by-step explanation:

A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)

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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