If `f(x) =1/(1-x) ,x > 0`, then the graphof `y = f(f(f(x)))` is a parabola

Identify the correct option If f(x)=(1)/(1-x),x>0, then the graph of y=f(f(f(x))) is a parabola

If f(x)= (1)/(x+1) - log (1+x), x gt 0 then f(x) is-

f(x) is a contiuous function satisfying f(x)*f((1)/(x))=f(x)+f((1)/(x)) and f(1) gt 0 , then underset(x to 1) (Lt)f(x) is equal to

If f(x+y)=f(x)f(y)AA x,y in R, f(0) ne 0 then F(x) = {f(x)/(1+(f(x)))^2 is

If f(x) is a continuous function satisfying f(x)f(1/x) =f(x)+f(1/x) and f(1) gt 0 then lim_(x to 1) f(x) is equal to

If 3f(x)-f((1)/(x))= log_(e) x^(4) for x gt 0 ,then f(e^(x))=

Let f be a differentiable function satisfying f(xy)=f(x).f(y).AA x gt 0, y gt 0 and f(1+x)=1+x{1+g(x)} , where lim_(x to 0)g(x)=0 then int (f(x))/(f'(x))dx is equal to

Let f be a differentiable function satisfying f(xy)=f(x).f(y).AA x gt 0, y gt 0 and f(1+x)=1+x{1+g(x)} , where lim_(x to 0)g(x)=0 then int (f(x))/(f'(x))dx is equal to