FunctionMedium
Question
The domain of definition of the function y = 
is
is Options
A.(-3,- 2) excluding - 2.5
B.[0, 1] excluding 0.5
C.(- 2,1) excluding 0
D.None of the above
Solution
For domain of y,
1- x > 0,1- x ≠ 1 and x + 2 > 0
⇒ x < 1, x ≠ 0 and x > - 2
⇒ - 2 < x < 1 excluding 0 ⇒ x ∈ (-2,1) -{0},
1- x > 0,1- x ≠ 1 and x + 2 > 0
⇒ x < 1, x ≠ 0 and x > - 2
⇒ - 2 < x < 1 excluding 0 ⇒ x ∈ (-2,1) -{0},
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