Problem

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

Solution

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.

From Solvely APP
Source: https://solvelyapp.com/problems/PzAFom7jPb/

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