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

SECOND OPTION.

Step-by-step explanation:

1. You must subtract the function f(x) and g(x), therefore, you obtain:

2. When you graph, you obtain the graph shown attached.

3. As you can see, the interval in which the value is negative is:

(-∞,2)

Therefore the answer is the second option.

The correct option is 2.

Step-by-step explanation:

From the given graphs in is clear that

we need to find the interval for which (f-g)(x) is negative.

Substitute the values of both functions.

The value of (f-g)(x) is negative mean the value (f-g)(x) is less than 0.

Add 3 on both sides.

Divide both sides by 1.5.

For all x<2, the value (f-g)(x) is negative. It means for the interval (-∞,2) the value (f-g)(x) is negative.

Therefore the correct option is 2.