Set, Relation and FunctionMedium
Question
Let f:R → 
, where f(x) = tan-1 
, then-
, where f(x) = tan-1 , then-Options
A.f(x) is continuous everywhere
B.f(x) is into function
C.graph of f(x) is symmetric about the line x = 2
D.f(x) is onto function
Solution
(A) f(x) is continuous everywhere because denominator never become zero.
(B) f(x) = tan-1
f(x) → ∞ not possible & it is an into function.
(C) graph is symmetric about the line x = 2, because of |x - 2|
(B) f(x) = tan-1
f(x) → ∞ not possible & it is an into function.
(C) graph is symmetric about the line x = 2, because of |x - 2|
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