FunctionHard
Question
The domain of the function f (x) = log1/2
is:
Options
A.0 < x < 1
B.0 < x ≤ 1
C.x ≥ 1
D.null set
Solution
f(x) = log1/2 
- log2
- 1 > 0
⇒ - ∞ < log2
< - 1
⇒ 0 < 1 +
⇒ - 1 < 
⇒ x ∈ φ (null set)
- log2
⇒ - ∞ < log2
⇒ 0 < 1 +
⇒ x ∈ φ (null set)
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