Final answer:
To determine the values of x for which f(x) = g(x), we need to graph the functions and find the points of intersection. By graphing the functions, we can determine that the only value of x for which f(x) = g(x) is x = 2.
Step-by-step explanation:
To determine all values of x for which f(x) = g(x), we need to graph the functions f(x) and g(x) and find the points of intersection.
Since the graph of f(x) is a horizontal line for 0 ≤ x ≤ 20, the equation of the line is y = a constant. Let's say the constant is k.
Therefore, f(x) = k for 0 ≤ x ≤ 20.
To find the points of intersection between f(x) and g(x), we plot the graph of f(x) and g(x) on the same coordinate plane and look for the common points. The x-values of these points are the values of x for which f(x) = g(x).
By graphing these functions, we can determine the values of x for which f(x) = g(x).
Based on the graph:
- x = -1 is not a value of x for which f(x) = g(x) because there is no intersection point at x = -1.
- x = 2 is a value of x for which f(x) = g(x) because there is an intersection point at x = 2.
- x = 3 is not a value of x for which f(x) = g(x) because there is no intersection point at x = 3.
- x = 4 is not a value of x for which f(x) = g(x) because there is no intersection point at x = 4.
Therefore, the correct answer is B. x = 2.