To determine the input value for which \( f(x) = g(x) \) is true, we need to analyze the graph of the functions \( f(x) \) and \( g(x) \). Since I can't view the graph directly, here’s how you could go about solving this:
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Look for Intersections: Identify the points on the graph where the two functions intersect. The x-values at these intersection points are the solutions to \( f(x) = g(x) \).
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Test Given Input Values: Check the provided x-values (\( x = 0.5 \), \( x = 1 \), \( x = 1.5 \), \( x = 2 \)) directly against the graph:
- For each \( x \) value, find the corresponding \( y \) values for both functions.
- See if they are equal at any of the given \( x \) values.
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Identify Correct Value: The \( x \) value where \( f(x) = g(x) \) is the correct input.
If you look for intersections involving each of the given x-values, you will find the answer. If you can describe the key points or features of the graph, I can help you analyze that!