Respuesta :

Answer:

  • D.  (4x + 1) / (x² - 5), x ≠ ±√5

Step-by-step explanation:

Given:

  • f(x) = 4x + 1 and g(x) = x² - 5

Find {f/g)(x):

  • (f/g)(x) = f(x) / g(x) = (4x + 1) / (x² - 5)

Since denominator can't be zero:

  • x² - 5 ≠ 0 ⇒ x² ≠ 5 ⇒ x ≠ ±√5

Correct choice is D