FunctionHard
Question
Let f: (e, ∞) → R be defined by f(x) = ln (ln(ln x)), then
Options
A.f is one one but not onto
B.f is onto but not one - one
C.f is one-one and onto
D.f is neither one-one nor onto
Solution
f : (e, ∞) → R
f(x) = ln(ln(ln x))
D : ln(ln x) > 0 or lnx > 1 or x > e
R : (- ∞, ∞) ⇒ one-one and onto function
f(x) = ln(ln(ln x))
D : ln(ln x) > 0 or lnx > 1 or x > e
R : (- ∞, ∞) ⇒ one-one and onto function
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