Question 1039162: Which function has an inverse that is also a function?
{(-4,3),(-2,7),(-1,0),(4,3),(11,-7)}
{(-4,6),(-2,2),(-1,6),(4,2),(11,2)}
{(-4,5),(-2,9),(-1,8),(4,8),(11,4)}
{(-4,4),(-2,-1),(-1,0),(4,1),(11,1)}
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! None of those functions have inverses that are functions -- for the inverse to be a function, the inverse relation must satisfy the property that each input maps to at most one output.
For example, the first function's inverse is not a function since the inverse is {(3,-4), (7,-2), (0,-1), (3,4), (-7,11)}, and here we see that 3 maps to two values (-4 and 4).
The same holds for the other functions.
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