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Question: Answered & Verified by Expert
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
MathematicsFunctionsAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)
Options:
  • A $f^{-1}(x)=x-1$
  • B $f^{-1}(x)=x+2$
  • C $f^{-1}(x)=x-2$
  • D $f^{-1}(x) \text { does not exist}$
Solution:
1005 Upvotes Verified Answer
The correct answer is: $f^{-1}(x)=x-2$
No solution. Refer to answer key.

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