Home
Class 12
MATHS
Let the functions f: [0,1] to R be d...

Let the functions `f: [0,1] to R ` be defined by
`f(x) = (4^(x))/(4^(x)+2)` Then the value of
`f(1/40)+f(2/20) +f(3/40) +....+ (39/40) - f(1/2)` is _______

Promotional Banner

Similar Questions

Explore conceptually related problems

Let the function f:R rarr R be defined by f(x)=tan(cot^(-1)(2^(x))-(pi)/(4)) then

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is

If the function f:R rarr R defined by f(x)=(4^(x))/(4^(x)+2) then show that f(1-x)=1-f(x) and hence deduce the value of f( 1/ 4 )+2f( 1 /2 )+f( 3/4 ) .

Let f:R to R be defined by f(x)=3x-4. Then, f^(-1) (x) is

Let f:R rarr R be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range of the function f(x) is

A function f :Rto R is defined as f (x) =3x ^(2) +1. then f ^(-1)(x) is :

Let f:R to R be a function defined by f(x)=(|x|^(3)+|x|)/(1+x^(2)) , then the graph of f(x) lies in the

f:R rarr R is given by f(x)=(a^(x))/(a^(x)+sqrt(a))AA x in R , then f((1)/(40))+f((2)/(40))+......+f((39)/(40))-f((1)/(2))=

Let a function f:R to R be defined as f (x) =x+ sin x. The value of int _(0) ^(2pi)f ^(-1)(x) dx will be: