Please check this.

Question

f(x)= 1/(x-1)^2 - 5

D= all real numbers, x does not equal to -5

R= all real numbers, y does not equal to 1

Answer 1

domain is all reals except where the denominator is zero

So, if you have

1/(x-1)^2 - 5

D= all reals except x=1

Clearly, 1/(x-1)^2 is smallest when x is huge. Then it is close to zero, but always a little bit positive. So,

R= all reals y > -5