Home
Class 12
MATHS
Let f(x)=(9^x)/(9^x+3) . Show f(x)+f(1-x...

Let `f(x)=(9^x)/(9^x+3)` . Show `f(x)+f(1-x)=1` and, hence, evaluate. `f(1/(1996))+f(2/(1996))+f(3/(1996))++f((1995)/(1996))`

Text Solution

Verified by Experts

The correct Answer is:
997.5
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|5 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|6 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

For x in R , x ne0, 1, let f_(0)(x)=(1)/(1-x) and f_(n+1)(x)=f_(0)(f_(n)(x)),n=0,1,2….. Then the value of f_(100)(3)+f_(1)((2)/(3))+f_(2)((3)/(2)) is equal to

If f(x) = (x^2 + 9)/(sqrt(x-3)) find f(4) + f(5)

If f(x)=2x-1, find the value of x that makes f(f(x))=9.

Let f : W-> W be a given function satisfying f(x) = f(x-1)+f(x-2) for x<=2 .If f(0)=0 and f(1)=1 , ther find the value of f(2) + f(3) + f(4) + f(5) + f(6) .

If f(x)=|x| then show that f'(3) =1

f(x) = 9^x/ ( 9 + 9^x) then value of f(1/2015) + f(2/2015) .......+ f(4029/2015)

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to (a)(f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1)) (f(x)-1)/(a(f(x)+1)) (d) (f(x)+1)/(a(f(x)+1))

If f(x) = (x + 1)/(x-1) , then the value of f{f(3)} is :