Step-by-step explanation:

Option D:
is the domain of the function.
Solution:
Given function is

<u>To find the domain of the function:</u>
Option A: 
Substitute x = 0 in r(x).

If x = 0, then r(0) = 0
So that x ≠ 0 is false.
So,
is not the domain of the function.
Option B: 
Substitute x = –1 in r(x).

If x = –1, then r(–1) = 1
So that x = ± 1 is false.
So,
is not the domain of the function.
Option C: 
Substitute x = 1 in r(x).

It is indeterminate.
So, all real numbers are not the domain of the function.
Option D: 
Substitute x = 1 in r(x).

It is indeterminate.
So,
is the domain of the function.
Answer:
y= -1/4x + (-1)
Step-by-step explanation:
(4,-2) (0,-1)
m= y2-y1/x2-x1
m=-2-(-1)/4-0
m= -1/4
y= mx + b
-2= -1/4(4)+ b
-2= -1 +b
+1 +1
-1= b