Question

Use the graph to determine the input value for which f(x) = g(x) is true.

x = 0.5
x = 1
x = 1.5
x = 2

Answer 1

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:

1. **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 \( f(x) = g(x) \).

2. **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.

3. **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!