1. Tardigrade
  2. Question
  3. Mathematics
  4. The domain of the function f(x)=√ log 0.5 x ! is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The domain of the function $f(x)=\sqrt{\log _{0.5} x !}$ is

AP EAMCETAP EAMCET 2016

Solution:

Given, $f(x)=\sqrt{\log _{0.5} x !}$
$f(x)$ is defined when
$\log _{0.5} x ! \geq 0$
$\Rightarrow x ! \leq(0.5)^{0}$
$\Rightarrow x ! \leq 1$
$\therefore x \in\{0,1\}$