Question
A parabola and a dotted straight line are drawn on a coordinate plane. The x-axis ranges from negative 10 to 10 in one-unit increments and the y-axis ranges from negative 5 to 15 in one-unit increments.
The functions of g(x)
and f(x)
are graphed. What is the larger solution in the solution set of f(x)=g(x)
?
(1 point)
The larger solution in the solution set is
.
Answers
GPT-4o mini
To find the larger solution in the solution set of \( f(x) = g(x) \), we need to determine the points where the graphs of \( f(x) \) and \( g(x) \) intersect. Given the information, we cannot directly see the functions or their graphs, so we must analyze the problem.
1. **Identify the point of intersections**: Look for the x-coordinates where the graph of the parabola intersects with the dotted straight line.
2. **Determine the solutions**: Assume you find two intersection points at \( x_1 \) and \( x_2 \) such that \( x_1 < x_2 \).
3. **Select the larger solution**: The larger solution would be \( x_2 \).
Since we do not have the specific equations for \( f(x) \) or \( g(x) \), I cannot provide a numerical answer. However, if you have the graphs or data points, you can visually identify or calculate these intersection points.
Please share more specific details about the functions \( f(x) \) and \( g(x) \), or describe the graph if you want further assistance in determining the larger solution.
1. **Identify the point of intersections**: Look for the x-coordinates where the graph of the parabola intersects with the dotted straight line.
2. **Determine the solutions**: Assume you find two intersection points at \( x_1 \) and \( x_2 \) such that \( x_1 < x_2 \).
3. **Select the larger solution**: The larger solution would be \( x_2 \).
Since we do not have the specific equations for \( f(x) \) or \( g(x) \), I cannot provide a numerical answer. However, if you have the graphs or data points, you can visually identify or calculate these intersection points.
Please share more specific details about the functions \( f(x) \) and \( g(x) \), or describe the graph if you want further assistance in determining the larger solution.