`f(x)=5^x/(5^x+sqrt5)`. Write the value of `sum_(k=1)^101 2f(k/102)`

f(x)=(5^(x))/(5^(x)+sqrt(5)). Write the value of sum_(k=1)^(101)2f((k)/(102))

If f(x)=(4^(x))/(4^(x)+2) for all x in R then value of sum_(K=1)^(6)f((K)/(7))=

If int_(0)^(10)f(x)dx=5, find the value of sum_(k=1)^(10)int_(0)^(1)f(k-1+x)dx

If alpha=e^(2 pi(i)/(11)) and f(x)=5+sum_(k=1)^(60)A_(x)^(k), then the value of sum_(r=0)^(10)f(alpha^(r)x) is

If f(x) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x) and f(5)=10 then the sum of digit of the value of sum_(r=0)^(19)f(15+12r) is

If f(x)={(kx+2,,x 5) is continuous, then value of k is

If 5f(x)+4f((1)/(x))=x-1,x!=0 then write the value of 9f(2)

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s 2f^(-1)(x)-5 (b) 1/(2f^(-1)(x)+5) 1/2f^(-1)(x)+5 (d) f^(-1)((x-5)/2)

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x) is 2f^(-1)(x)-5( b )(1)/(2f^(-1)(x)+5)(1)/(2)f^(-1)(x)+5( d) f^(-1)((x-5)/(2))

If f(x)=(x-1)^(100)*(x-2)^(2(99))*(x-3)^(3(98))..........(x-100)^(100) then the value of (f^(')(101))/(f(101))=k, then (k)/(2525)=