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Question
If the function
\[f : R \to R\] be such that
\[f\left( x \right) = x - \left[ x \right]\] where [x] denotes the greatest integer less than or equal to x, then \[f^{- 1} \left( x \right)\]
Options
\[\frac{1}{x - \left[ x \right]}\]
[x] − x
not defined
none of these
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Solution
We know that the range of f is [0, 1).
Co-domain of f = R
As range of f
So, f -1 does not exist.
Thus, the answer is (c).
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