Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The domain of function $f(x)=\log_e(x-[x])$ is (where [x] is greatest integer ≤ x)

Options:

$R$

$R-I$

$(0, +∞)$

$I$

Correct Answer:

$R-I$

Explanation:

$f (x) = log(x −[x])$ is defined if $x −[x] > 0$

$⇒\{x\}>0⇒x∉I$

∴ Domain = $R – I$