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If f is a function defined from R to R, is given by f(x) = x^2 then f ^-1(x) is given by?

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If f is a function defined from R to R, is given by f(x) = x^2 then f ^-1(x) is given by?

(a) 1/(3x-5)

(b) (x+5)/3

(c) does not exist since it is not a bijection

(d) none of the mentioned

I got this question during an interview for a job.

Question is from Inverse of a Function in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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The correct option is (c) does not exist since it is not a bijection

To explain: It is not a one one function hence Inverse does not exist.

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