A function f has an inverse function if and only if f is one - to - one.
Consider the function as .
The table on the left is a table of values for .
The table of values on the right is made up by interchanging the columns of the given table.
The table on the right represent a function because the different input values are matched with different output values.
So, f(x) is one - to - one and have an inverse function.
x |
y |
10 |
|
6 |
|
4 |
|
0 |
1 |
2 | |
3 |
x |
y |
10 |
|
6 |
|
4 |
|
1 |
0 |
2 | |
3 |
Yes, the function f(x) have an inverse function.
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