Respuesta :
Answer:
C
Step-by-step explanation:
To evaluate (f ￮ g)(x)
Substitute x = g(x) into f(x)
f(x² + 14) = x² + 14 - 14 = x² → C
The value of (fog)(x) = x^2. So, option C is correct.
How to solve a composite function?
The functions f(x) and g(x) are composite functions then,
(fog)(x) = f(g(x)).
- Substitute g(x) in place of x in the function f(x).
- Simplify the equation.
Calculation:
Given that,
f(x) = x - 14
g(x) = [tex]x^2+14[/tex]
Then,
(fog)(x) = f(g(x))
= ([tex]x^2+14[/tex]) - 14
= x² + 14 - 14
= x²
Therefore, the value of (fog)(x) = x².
Learn more about composite functions here:
https://brainly.com/question/10687170
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