This table defines a function.

Question

x 7 10 13 16
y 21 30 39 48

Which table represents the inverse of the function defined above?

A.
x -21 -30 -39 -48
y 7 10 13 16
B.
x 21 30 39 48
y 7 10 13 16
C.
x -7 -10 -13 -16
y 21 30 39 48
D.
x 7 10 13 16
y -21 -30 -39 -48

Answer 1

The inverse of a function swaps the values of x and y.

In the original function, when x is 7, y is 21.
Therefore, in the inverse, when y is 7, x should be 21.

Looking at the options, option B matches this criteria:

x 21 30 39 48
y 7 10 13 16

Therefore, option B represents the inverse of the original function.