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Let f(x) = x then number of solution to f(x) = f ^-1(x) is zero.

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Let f(x) = x then number of solution to f(x) = f ^-1(x) is zero.

(a) True

(b) False

The question was asked in my homework.

My doubt stems from Inverse of a Function topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Correct option is (b) False

Best explanation: Since inverse of a function is the mirror image of function in line y = x, therefore in this case infinte solution will exist.

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