Problem

If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one." \[ \{(2,5),(-8,-35),(-4,-7),(5,-3)\} \] A. $\{(-7,5),(2,-4),(-4,5),(-3,-35)\}$ B. $\{(5,2),(-35,-8),(-7,-4),(-3,5)\}$ C. $\{(-7,5),(2,-4),(-35,-4),(-8,5)\}$ D. Not one-to-one

Solution

Step 1 :The given function is a set of ordered pairs. To find the inverse of a function, we simply switch the x and y coordinates of each pair. This means that the inverse of the function would be \(\{(5,2),(-35,-8),(-7,-4),(-3,5)\}\).

Step 2 :Let's check if this set matches any of the given options.

Step 3 :The output matches option B, which is \(\{(5,2),(-35,-8),(-7,-4),(-3,5)\}\). Therefore, this is the inverse of the given function.

Step 4 :Final Answer: \(\boxed{B. \{(5,2),(-35,-8),(-7,-4),(-3,5)\}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/19037/

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