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
Create a free account to view solution
View Solution FreeMore Function Questions
The domain of the function f(x) = x! is -...If f : [0,1] → [0,1], f(x) = . g : [0,1] → [0,1], g(x) = 4x (1 − x), then (fog) (x) equals-...If the graph of the function f(x) = is symmetric about y-axis, then n is equal to:...Fundamental period of f(x) = sec (sin x) is...Range of the function f(x) = sin2(x4) + cos2(x4) is-...