Q41 / 160 · AP EAMCET 2017 (25 Apr Shift 2) · Mathematics

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

A
$f^{-1}(x)=x-1$
B
$f^{-1}(x)=x+2$
Correct answer
C
$f^{-1}(x)=x-2$
D
$f^{-1}(x) \text { does not exist}$

Hence, the correct answer is option: 'C'.

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