If f ( x ) = cos (log x ), then f ( x ) f ( y ) - 1 2 [f ( x y )+f(x y) ] has the value
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
If f (x) = cos (log x), then f (x) f (y)\(-\frac{1}{2}\left[f\left(\frac{x}{y}\right)+f(x y)\right]\) has the value
- –1

- –2
- 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
- Let = _ k=1 ^ ^ 2 k ( 6 ) Let g : [0, 1] → R be the function defined by g ( x ) = 2 α x + 2 α (1 – x ) Then…
- Let f be a real valued function defined by f (x) = e ^ x - e ^ -| x | e ^ x + e ^ | x | then range of f (x)…
- The domain of the function f (x) = [4] _ 3 ( 1 | x| ) is :
- Let f and g be increasing and decreasing functions, respectively from [0, ∞) to [0, ∞) Let h ( x ) = f ( g (…
- Solution of 2 x + 2 |x| > 2 2 is
- Let f (x) = max 1 + sin x, 1 – cos x, 1 x ∈ [0, 2π] and g (x) = max 1, | x –1| x ∈ R. Then gof is :
- Let S = (0, 1) ∪ (1, 2) ∪ (3, 4) and T = 0, 1, 2, 3 . Then which of the following statements is(are) true?
- The equation | | x – 1| + a | = 4 can have real solutions for x if ‘a’ belongs to the interval
More Sets, Relations and Functions questions · Browse all practice questions