If the graph of f(x) contains the coordinates (0, 1) and (4, 16), which of the following coordinates must be on the graph of the inverse of f(x)?

a. (-4,-16)
b. (16,4)
c. (0,-1)
d. (-16,-4)
e. (0,1)

b. (16 , 4)

Step-by-step explanation:

f(x):   0 -> 1 , 4 -> 16

f⁻¹(x):  1 -> 0 , 16 -> 4

This graph will require two lines. The first one:

It goes up by one, and to the right one. It's x-axis intercept will be at -4. Then, it will rise up to the y-axis intercept, which is 4. That will be your first line.

Second: This line is going down by one, and to the right as one. It goes straight from the y-axis intercept of 2, to the x-axis intercept of 2.

Reminder that both lines are constant and infinite in both ways. I hope that made sense, I would send a capture but I don't know how