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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.