Hey guys, I'm having a problem with finding the domain and range of this function:

f(x) = sqrt(X^2 - 1)

this is what i thought:

x|xER

y|yER, y≥1

but when you substitute 1 for x, you get y = 0, so it disproves what I thought to be correct.

the second one I need help with is the function:

f(x) = sqrt(x^2 - 1)/x-1

i have no idea what the domain/range for that function could be, i've never seen something like that.