# Math Help - Domain and Range

1. ## Domain and Range

Had my first calc test today!
I feel pretty good about it.
One question...

y = 2/ sqrt(x-3)

find domain and range...

Can someone tell me what it is... I hope I did it right.

2. $x \in (3,\infty)$

$y \in \mathbb{R} /{0}$

3. Originally Posted by pickslides
$x \in (3,\infty)$

$y \in \mathbb{R} /{0}$
Shouldn't $y$ be greater than zero?

4. Given the range of the function is the domain of the inverse then y can be negative

$f(x)= \frac{2}{\sqrt{x-3}}$

$f^{-1}(x) = \frac{4}{x^2}+3$