Respuesta :

luisejr77

Answer: Second option.

Step-by-step explanation:

Given the function f(x), which is:

[tex]f(x)=x[/tex]

And given the function g(x), which is:

[tex]g(x)=2[/tex]

You need to substiute the function [tex]g(x)=2[/tex]  into the function  [tex]f(x)=x[/tex] in order to find [tex](fog)(x)[/tex].

Therefore, through this procedure, you get this answer:

[tex](fog)(x)=(2)[/tex]

[tex](fog)(x)=2[/tex]

You can observe that this matches with the second option.

carlosego

For this case we have the following functions:

[tex]f (x) = x\\g (x) = 2[/tex]

We must find [tex](f_ {0} g) (x).[/tex]

By definition of composite functions we have to:

[tex](f_ {0} g) (x) = f (g (x))[/tex]

We substitute g (x) into f (x), then we have:

[tex]f (g (x)) = 2[/tex]

Answer:

[tex]f (g (x)) = 2[/tex]

Option B

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