If f(x)= 9^ x 9^ x +3 , then find the value of f ( 1 1996 )+f ( 2 1996 )+f ( 3 1996 )+ +f…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
If \(f(x)=\frac{9^{x}}{9^{x}+3}\), then find the value of \(f\left(\frac{1}{1996}\right)+f\left(\frac{2}{1996}\right)+f\left(\frac{3}{1996}\right)+\ldots+f\left(\frac{1995}{1996}\right)\)
- 997
- 998
- 997.5
- None of these
Answer
(C) 997.5
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let f (x) = sin x and g (x) = In |x|. If the ranges of the composition functions fog and gof are R 1 and R 2…
- Range of f (x) = sin –1 x + cot –1 x + tan –1 x is
- Given below are two statements. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0 x R …
- A function f : A → B, where A x : – 1 ≤ x ≤ 1 and B = y : 1 ≤ y ≤ 2 is defined by the rule y = f (x) = 1 + x…
- ^ -1 ( 2 3 )+ ^ -1 ( 7 6 )+ ^ -1 ( 3 4 ) is equal to :
- Let f( x )= x x +1 , x -1 . Then, for what value of II is f(f(x))=x ?
- Let f(x)=x^ 2 , x R . For any A R, define g(A) = x R : f(x) A . If S = [0, 4], then which one of the…
- If f(x+y)=f(x)+f(y)-x y-1 for all x, y E and f(1)=1 , then the number of solutions of f(n)=n_ 1 n N is
More Sets, Relations and Functions questions · Browse all practice questions