If the function f : R → R be such that f(x) = x - [x], where [x] … - Vidyadip

Question

If the function f : R → R be such that f(x) = x - [x], where [x] denotes the greatest integer less than or equal to x, then f^-1(x) is:

$\frac{1}{\text{x}-[\text{x}]}$
[x] - x
Not defined
None of these.

✓

Answer

Not defined

Solution:

Given function is f(x) = x - [x]

[x] is a greatest integer function.

Hence, we will have same values of the function for the different values of x.

As we are considering integer only not fraction part.

Hence, it is not defined.

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