Question

The point (2, 12) is on the graph of f(x). Which of the following points must be on the graph of g(x), the inverse of f(x)?

Options:
A. (12, 2)
B. (2, 12)
C. (12, 12)
D. (2, 2)

Answer 1

The point (12, 2) must be on the graph of g(x), the inverse of f(x).

Step-by-step explanation:

The point (2, 12) lies on the graph of f(x). To find the point that must be on the graph of g(x), the inverse of f(x), we need to switch the x and y coordinates of the given point. Thus, the point (12, 2) must be on the graph of g(x), as it is the inverse of the point (2, 12).