Questions: For which values of (x) is (f(x)>g(x)) ? For every x in the interval (square) . (f(x)>g(x)). (Type your answer in interval notation.)

Transcript text: (b) For which values of $x$ is $f(x)>g(x)$ ? For every x in the interval $\square$ . $f(x)>g(x)$. (Type your answer in interval notation.)

Solution

Solution Steps

Step 1: Identify the Intersection Point

From the graph, the functions $ y = f(x) $ and $ y = g(x) $ intersect at $ x = -1.5 $.

Step 2: Analyze the Graph for $ f(x) > g(x) $

Observe the graph to determine where $ y = f(x) $ is above $ y = g(x) $. This occurs to the right of the intersection point $ x = -1.5 $.

Step 3: Determine the Interval

Since $ f(x) $ is greater than $ g(x) $ for values of $ x $ greater than $ -1.5 $, the interval is $ (-1.5, \infty) $.

Final Answer

For every $ x $ in the interval $ (-1.5, \infty) $, $ f(x) > g(x) $.

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