If the function defined by the following is one-to-one, find its inverse.
\[
\{(-3,6),(2,3),(5,9)\}
\]

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Answer

\(\boxed{\{(6,-3),(3,2),(9,5)\}}\) is the final answer.

Steps

Step 1 ：Given the function defined by the set of ordered pairs \[\{(-3,6),(2,3),(5,9)\}\]

Step 2 ：To find the inverse of a function, we switch the x and y coordinates of each ordered pair.

Step 3 ：This is because the inverse of a function 'undoes' the operation of the original function.

Step 4 ：So, the inverse of the function is \[\{(6,-3),(3,2),(9,5)\}\]

Step 5 ：\(\boxed{\{(6,-3),(3,2),(9,5)\}}\) is the final answer.