The domain of the function f (x) = [4] _ 3 ( 1 | x| ) is :
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
The domain of the function f (x) = \[\sqrt[4]{\log _{3}\left(\frac{1}{|\cos x|}\right)}\] is :
- (–∞, ∞)
- (–∞, ∞) – {nπ| n ∈ I}
- (–∞, ∞) – \(\left\{(2 n+1) \frac{\pi}{2}: n \in I\right\}\)
- none of the above
Answer
(C) (– ∞ , ∞ ) – (2 n+1) 2 : n I
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let E = 1, 2, 3, 4 and F = 1, 2 , then the number of onto functions from E to F is
- Assertion : ^ -1 x- x^ 2 2 + x^ 3 4 - = d 2 - ^ -1 x^ 2 - x^ 4 2 + x^ 6 4 for 0 Reason : ^ -1 x(x+1) + ^ -1…
- The domain of function f(x)= 1 x^ 2 - x ^ 2 , where x denotes fraction part of x .
- Assertion : The function a x+b c x+d , (ad – bc ≠ 0) cannot attain the value a c . Reason : The domain of the…
- If f (n + 1) = 2 f( n )+1 2 , n = 1, 2, ... and f (1) = 2, then f (101) equals
- If 2 f (x – 1) – f ( 1-x x ) = x, then f (x) is :
- Solution of the inequality x > (1-x) is given by
- Assertion : Let f (x) be a function satisfying f (x – 1) + f (x + 1) = 2 f (x) for all x ∈ R. Then f (x) is…
More Sets, Relations and Functions questions · Browse all practice questions