Questions: Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) ≥ g(x).

Transcript text: Let $f(x)$ be the function represented by the dashed line and $g(x)$ be the function represented by the solid line. Solve the equation $f(x) \geq g(x)$.

Solution

Solution Steps

Step 1: Identify the Functions

The dashed line represents $ f(x) $.
The solid line represents $ g(x) $.

Step 2: Analyze the Graph

Observe where $ f(x) $ (dashed line) is greater than or equal to $ g(x) $ (solid line).

Step 3: Determine the Intersection Points

Find the points where the dashed line intersects the solid line. These points are where $ f(x) = g(x) $.

Step 4: Solve the Inequality

Identify the intervals on the x-axis where $ f(x) $ is above or equal to $ g(x) $.

Final Answer

The solution to $ f(x) \geq g(x) $ is the interval $ x \leq 1 $ and $ x \geq 3 $.

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