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The graphs of f(x) and g(x) are shown below.

On a coordinate plane, a straight line with a positive slope represents f (x) = x minus 3. The line goes through (0, negative 3) and (3, 0). On a coordinate plane, a straight line with a negative slope represents g (x) = negative 0.5 x. The line goes through (negative 4, 2), (0, 0), and (4, negative 2)

For what interval is the value of (f – g)(x) negative?
(negative infinity, negative 1)
(negative infinity, 2)
(0, 3)
(2, infinity)

Respuesta :

Answer:

(negative infinity, 2)

Step-by-step explanation:

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

So, (f - g)(x) = x - 3 - ( - 0.5x) = 1.5x - 3

Then, for (f - g)(x) to be negative (1.5x - 3) < 0

⇒ 1.5x < 3

⇒ x < 2

Therefore, the interval will be (negative infinity, 2) for which the function (f - g)(x) will be negative. (Answer)

Answer:

negative infinity 2

Step-by-step explanation:

just did the test

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