Question

Find the range
$f\left(x\right)=\frac{1}{\sqrt{x-5}}$

Answer 1

Given,

$f\left(x\right)=\frac{1}{\sqrt{x-5}}$

Domain of $\frac{1}{\sqrt{x-5}}:x>5$

Range of $\frac{1}{\sqrt{x-5}}:\left[\begin{array}{cc}Solution:& f\left(x\right)>0\\ IntervalNotation:& (0,\infty )\end{array}\right]$