t(x)=1/x^2-2x-15

i. give the domain and range
ii. determine the equations for the asymptotes
iii. determine the y-int

assuming the usual carelessness with parentheses, I suppose

t(x) = 1/((x-5)(x+3))
so D = all real x except -3 and 5
Range = (-∞,-1)U(0,∞)

I'm sure you can do the rest ...