If $[\cdot]$ denotes the greatest integer function and if $f:(5,10) \rightarrow(7,12)$ is a function defined…

If $[\cdot]$ denotes the greatest integer function and if $f:(5,10) \rightarrow(7,12)$ is a function defined by $f(x)=x+2\left[\frac{x}{5}\right]$, then
  1. $f^{-1}(x)=x-1$
  2. $f^{-1}(x)=x+2$
  3. $f^{-1}(x)=x-2$
  4. $f^{-1}(x) \text { does not exist}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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