f(x) = x( x+ x) [ x+ ]- 1 2 , where [∙] is greatest integer function, is
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
\(f(x)\) = \(\frac{x(\sin x+\tan x)}{\left[\frac{x+\pi}{\pi}\right]-\frac{1}{2}}\), where [∙] is greatest integer function, is
- Even
- Odd
- Periodic
- None of these
Answer
(D) None of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If f(x)= 9^ x 9^ x +3 , then find the value of f ( 1 1996 )+f ( 2 1996 )+f ( 3 1996 )+ +f ( 1995 1996 )
- Considering only the principal values of inverse trigonometric functions, the number of positive real values…
- If c 2 + (c + d) x + cd < 0, then x belongs to.
- If a f (x + 1) + b f ( 1 x+1 )=x, x ≠ −1, a ≠ –b, then f (1) is equal to
- Let f (x) = x^ 2 x+1 , x -1 . The value of α for which f (a ) = a, (a ≠ 0) is
- The inverse of the function f(x)= 10^ x -10^ -x 10^ x +10^ -x is (Assume that f(x) is bijective)
- Let f : R → R be a function given by f (x + y) = f (x) + f (y) for all x, y ∈ R such that f (1) = a. Then, f…
- If y=1+ x 1! + x ^ 2 2! + x ^ 3 3! + , then the value of d y d x is
More Sets, Relations and Functions questions · Browse all practice questions