FunctionHard
Question
Let f: R → R be a positive increasing function with
= 1. Then
=
= 1. Then
= Options
A.

B.

C.3
D.1
Solution
f(x) is a positive increasing function
⇒ 0 < f(x) < f(2x) < f(3x)
⇒ 0 < 1 <
⇒
By sandwich theorem.
⇒
⇒ 0 < f(x) < f(2x) < f(3x)
⇒ 0 < 1 <

⇒

By sandwich theorem.
⇒

Create a free account to view solution
View Solution FreeMore Function Questions
Which of the following relation is a function ?...If f (x) = , then the value of f (x + 2) is-...If f(x) = x3 − 1 and domain of f = {0,1,2,3}, then domain of f−1 is -...Range of f(x) = 4x + 2x + 1 is...Which of the following functions are aperiodic (where [.] denotes greatest integer function)...