Question

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?

Answer 1

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Answer:

x < 2 or (-∞, 2)

Explanation:

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

We want to find (f -g)(x) < 0, so we have ...

1.5x -3 < 0

1.5x < 3 . . . . . . . add 3

x < 2 . . . . . . . . . .divide by 1.5

The function (f -g)(x) is negative on the interval x < 2.