The question is about Invertible Functions. We need to find out the value of the x for which the function and the inverse function is equal. Functions is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept of Functions questions in the CAT Exam. Make sure you practice a lot of questions in CAT Functions Algebra to push your CAT preparation in the right direction. Functions as an idea is a fabulous idea if one can wrap their head around it the right way, and it has been one of the staple ideas tested by the CAT exam historically.

Question 19: If f(x) = \\frac{(x + 6)}{(x+2)}\\). Find the value of x for which f(x) = f^{-1}(x)?

- -3
- 2
- Both A and B
- None of these

Both A and B

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f(x) = f^{-1}(x) when f(x) = x

=> \\frac{(x + 6)}{(x+2)}\\) = x

=> x + 6 = x^{2} + 2x

=> x^{2} + x – 6 = 0

=> (x+3) (x-2) = 0

=> x = -3, 2

The question is **"Find the value of x for which f(x) = f ^{-1}(x)?"**

Choice C is the correct answer.

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