Respuesta :

A

to evaluate g(f(x)), substitute x = f(x) into g(x)

g(f(x)) = g(x + 6) = [tex](x+6)^{4}[/tex] → A

Correct option is (A) and The value of g(x) = [tex]x +6^{4}[/tex].

What is function ?

  • The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.
  • Then, a set of ordered pairs can be used to define a function: Example: The function "(2,4), (3,5), (7,3)" states this. 3 and 5 are related to 2, and 3 and 7 are related. Additionally, take note that the domain is 2,3,7. (the input values)

Given, f(x) = x + 6

           g(x) = [tex]x^{4}[/tex]

so , we simply put value of  f(x) in g(x) .

then,        

            g(f(x)) = [tex](x + 6)^{4}[/tex]

Therefore, the value of g(x) = [tex]x +6^{4}[/tex].

Learn more about function brainly.com/question/12805901 here

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