Question

The solution to f(x) = f ^-1(x) are __________

(a) no solutions in any case

(b) same as solution to f(x) = x

(c) infinite number of solution for every case

(d) none of the mentioned

I have been asked this question in an interview for internship.

The query is from Inverse of a Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right answer is (b) same as solution to f(x) = x

To explain: Inverse of a function is the mirror image of function in line y = x.