The graph of g(x) and f(x) is shown. What is the smaller solution of g(x) = f(x)

Question

6
3
1
13

Answer 1

To find the smaller solution of \( g(x) = f(x) \) from the given values, we would typically analyze the graph where the two functions intersect. Since the graph is not provided here, if you've identified the intersection points, you could simply compare the x-coordinates of the points where \( g(x) = f(x) \).

Based on the choices provided (6, 3, 1, 13), you will need to look at the x-values (if those correspond to x-coordinates of intersection points) and determine which is smaller.

If you have access to the graph and can observe the intersection points, you can select the smallest x-coordinate from those points. If the graph is not available, providing additional context or details about the functions could help in deriving the solution.

Based on the given numeric options, the smallest number is 1. If \( 1 \) corresponds to one of the intersection points where \( g(x) = f(x) \), then that would be your answer.

If you have the intersection points noted but need help determining which ones correspond to the values you've provided, feel free to share that data for more detailed assistance.

Answer 2

In graph one is an upward u shape the other is a straight line crossing at (1,3)

Answer 3

Given your description, it sounds like:

• One function, \( g(x) \), is a parabola (upward U shape).
• The other function, \( f(x) \), is a straight line that crosses the point (1, 3).

Since you mentioned the intersection point at (1, 3), this means that both functions are equal at \( x = 1 \). Thus, \( g(1) = f(1) = 3 \).

To find the smaller solution of \( g(x) = f(x) \), we can determine that:

1. You have identified the intersection at \( x = 1 \).
2. There may be another intersection point, depending on the shape of the parabola, but since you're looking for the smaller solution, \( x = 1 \) is indeed the smallest intersection point.

Thus, the answer is:

1