Question

If (3,5) is a point on the graph of the function f, then which of the following points must be on the graph of the inverse function f(-1)?

1) (-3,-5)
2) (-1/3, -1/5)
3) (1/3, 1/5)
4) (2,4)
5) (5,3)

Answer 1

The point (3,5) on the function f corresponds to the point (5,3) on its inverse function f^-1, as x and y values are swapped in inverse functions.

Step-by-step explanation:

If (3,5) is a point on the graph of the function f, then to find the corresponding point on the graph of the inverse function f-1, you would swap the x and y values. Hence, the point on the inverse function would be (5,3). The inverse function essentially reflects the points of the original function across the line y = x. Therefore, the correct answer is option 5: (5,3).