find the domain of f(x) = 1/sqrt(x-3)

Given the equation: f(x)
=1/sqrt(x-3)

We need to find the domain of
f(x).

We know that the domain is all x values such that
f(x) is defined.

Since f(x) is a quotient, then the
denominator can not be zero.

Also, we notice that the
denominator is a square root.

Then (x-3) must be positive
values.

==> sqrt(x-3) >
0

==> x-3 >
0

==> x >
3

Then the domain is x = ( 3,
inf)