I am trying to find the range of

f(x) = 1 / [sqrt(x+3)]

I know that the function is undefined when x+3 =< 0 so the domain is all x>-3

As the denominator must be positive, i know that f(x) > 0 and i believe that is the range.

I am having trouble knowing how I should set this out on paper / what my working should look like.

Any help would be appreciated, thanks.