Q. The number of integers in the domain of $\ln \left(\frac{\sqrt{ x +2}-\sqrt{6- x }}{\sqrt{- x ^2+4 x +12}}\right)$ is
Relations and Functions - Part 2
Solution:
$\ln \left(\frac{1}{\sqrt{6-x}}-\frac{1}{\sqrt{x+2}}\right)$
$6-x>0$....(i)
$x+2>0$....(ii)
$(x+2)>6-x$
$2 x>4$
$x>2$....(iii)
$x \in(2,6)$
