Respuesta :

(-inf,2)
............
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Answer:

Option B. (-∞, 2) is the answer.

Step-by-step explanation:

The given functions are f(x) = x - 3 and g(x) = -0.5x

We have to find the value of (f - g)(x)

Since (f - g)(x) = f(x) - g(x)

                      = (x - 3) - (-0.5x)

                      = x - 3 + 0.5x

                      = 1.5x - 3

                      = 1.5(x - 2)

Interval (f - g)(x) negative will be negative for x < 2.

Therefore, interval (-∞, 2) will be the interval for the negative values of the function.

Option B. will be the answer.