contestada

Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?


x –6 –1 4 9 14
f (x) 6 5 4 3 2
g(x) –12 –7 –2 3 8
(14, ∞)
(–∞, 14)
(9, ∞)
(–∞, 9)

Respuesta :

Comparing the functions, from the tables, it is found that (f - g)(x) is positive in the interval (–∞, 9) .

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  • For the subtraction function, we simply subtract both functions, thus:

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

  • It is positive if f is greater than g, that is: f(x) > g(x).
  • It is a linear function, so one function is greater before the equality, one after.
  • They are equal at x = 9.
  • If x < 9, f(x) > g(x), and thus, (f - g)(x) is positive, which means that the desired interval is:

(–∞, 9)

A similar problem is given at https://brainly.com/question/24610273

Answer:

(–∞, 9)

Step-by-step explanation: