If `f(x)=(4^(x))/(4^(x)+2)`, then show that `f(x)+f(1-x)=1`

If the function f: R to 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)) .

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(x)=(4^(x))/(4^(x)+2), and given that f(x)+f(1-x)=1 then f((1)/(1997))+f((2)/(1997))+f((3)/(1997))+....+f((1996)/(1997))

If f(x)=x/(2^(x)-1) , then show that f(-1) = 2.

If f(x)=(4^(x))/(4^(x)+2), then f(x)+f(1-x) is equal to

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=1/(f(x))

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=-1/(f(x))

If f(x)=(4^(x))/(4^(x)+2) then f(x)+f(1-x) is equal to

f(x)=(4^(x))/(4^(x)+2), then f(x)+f(1-x)