Final Answer:
The value of F ^ -1 (3) is 5. Option D is answer.
Step-by-step explanation:
Given Set: F = {(2, 6), (3, 1), (4, 5), (5, 3)}
Inverse Function Definition: F-inverse of y equals x if F of x equals y
Finding F-inverse of 3:
Start with the definition of the inverse function: F-inverse of 3 means finding an x such that F of x equals 3.
Look through the set F to find the pair where the second element is 3. In this case, it's (5, 3).
So, F-inverse of 3 equals 5, indicating that applying the inverse function to 3 gives us 5.
Therefore, the correct answer is option D) 5.