Question

find the domain of the function.
$f(x) = \frac{1}{\sqrt{x - 5}}$
the domain of $f(x)$ is
(type your answer in interval notation.)

Explanation:

Step1: Set radicand > 0 (denominator ≠0)

$x - 5 > 0$

Step2: Solve the inequality

$x > 5$

Answer:

$(5, \infty)$