Question

Consider the function below.

x -1 0 1 2
f(x) -2 3 8 13

Which of the following functions could be the inverse of function f?


x -2 3 8 13
q(x) -1 0 1 2


x -2 -3 -8 -13
r(x) 1 0 -1 -2


x -1 0 1 2
p(x) 2 -3 -8 -13


x 1 0 -1 -2
s(x) -2 3 8 13

Answer 1

Look at the original problem.  Its domain is {-1,0,1, 2}, and its range is {-2,3,8,13}.  The inverse function of this given function has {-2,3,8,13} as its domain and {-1,0,1, 2} as its range.

Domain of original function becomes Range of the inverse function.