Set, Relation and FunctionHard
Question
Let f : (-1, 1) → B, be a function defined by f(x) = tan-1 
, then f is both one-one and onto when B is the interval
, then f is both one-one and onto when B is the intervalOptions
A.
B.
C.
D.
Solution
Given f(x) = tan-1
for x ∈ (-1, 1)
clearly range of f(x) =
∴ co-domain of function = B =
for x ∈ (-1, 1)clearly range of f(x) =
∴ co-domain of function = B =
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