Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is

$\begin{array}{1 1} (A) \large\frac{1}{x-[x]} \\(B)\; [x]-x \\ (C)\; not \;defined \\(D) none \;of\; these \end{array}$

Can you answer this question?

1 Answer

0 votes
  • For inverse of a function to be defined it should be bijective function.
$f(x)=x-n$ when $x \in (n,n+1)$ and $f(x)=0\: when\:x=n$
$\Rightarrow $ $f(x)$ is not 1-1 function but is many to one function.
$\Rightarrow f(x)$ is not bijective function
$\Rightarrow\:f^{-1}(x)$ is not defined.
answered May 2, 2013 by rvidyagovindarajan_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App