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Q. If graph of $f ( x )$ which is defined in $[-2,2]$ is shown in the adjacent figure, then number of solution(s) of the equation $f(x)=f^{-1}(x)$ is (are)Mathematics Question Image

Relations and Functions - Part 2

Solution:

For $f (x) = f ^{-1 }(x)$
only 3 solution
$(0, 2), (2, 0), (1, 1)$