Let be a one-one function with domain and range

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let ff be a one-one function with domain {21,22,23}\{21,22,23\} and range {x,y,z}\{x,y,z\}. Exactly one of the following statements is true and the other two are false: f(21)=xf(21)=x, f(22)≠xf(22)\ne x, f(23)≠yf(23)\ne y. Then f−1(x)f^{-1}(x) is

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