Set, Relation and FunctionMedium
Question
Let f(x) = 
, a > 0, x ≥ 0, then which of the following is/are correct ?
, a > 0, x ≥ 0, then which of the following is/are correct ?Options
A.range of f(x) is 
B.domain of f(x) is 
C.f(x) is increasing function
D.f(x) is continous in its domain
Solution
f(x) = 
, x ≥ 0, a > 0
Domain
x ∈ 
f(x) is decreasing (∵ Nr is ↓ and Dr is ↑) and continuous ( ∵ sec-1((ax + 2) ≠ 0)
⇒ Range is
i.e. 
, x ≥ 0, a > 0Domain
x ∈ f(x) is decreasing (∵ Nr is ↓ and Dr is ↑) and continuous ( ∵ sec-1((ax + 2) ≠ 0)
⇒ Range is
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