Respuesta :

Space

Answer:

(fog)(x) = 25x - 23

Step-by-step explanation:

  • f(x) = 5x - 3
  • g(x) = 5x - 4  

(fog)(x) = f(g(x))  

This is an example of a composite function.

Simply substitute g(x) for x into the function f(x) and simplify.

f(g(x)) = f(5x - 4)  

  • f(5x - 4) = 5(5x - 4) - 3  

Distribute 5 inside the parentheses.

  • f(g(x)) = 25x - 20 - 3

Combine like terms.

  • f(g(x)) = 25x - 23

(fog)(x) = 25x - 23

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