Let me try some more for good measure, hopefully I haven't fallen asleep yet.

b) f(x) = 2/(x^2-4)

let y = f(x)

Domain: x can't be -2 nor 2

I think the range is all real y excluding y = 0 because I think I know what this graph should (roughly) look like.

Oh no I drew the graph roughly and I'm wrong! The range is y > 0, y <= -1/2 (g0d I put -1/4 at first because I'm asleep now)

I think I woke up after that one lol

c) 1/(x^2+x)

Domain: x can't be 0 nor -1

Range: x > 0, x <= -4

d) 1/((x-3)(x-2))

Domain: x can't be 3 nor 2

Range: x > 0, x <= -4

e) sqrt(x^2-4)

Domain: (x-2)(x+2) >= 0 so that is x > 2, x < -2

Range: y >= 0

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

Domain: 1-x^2 > 0 --> -1 < x < 1

Range: *gets calculator to plug in values* y >= 1

I checked them with desmos so I hope they're right now