If `f(x)=4x-x^2, x in R ,` then write the value of `f(a+1)-f(a-1)dot`

If f(x)=4x-x^2 for all x in R , then the value of f(a+1)-f(a-1) is:

If f(x)=1-1/x then write the value of f(f(1/x))dot

If f(x)=1-1/x then write the value of f(f(1/x))dot

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

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

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 f(x)=0 and g(x)=f(x)sqrt(1-2(f(x))^2) are strictly increasing AAx in R , then find the values of f(x)dot