Let `f(x)=tanxa n dg(f(x))=f(x-pi/4),` where `f(x)a n dg(x)` are real valued functions. Prove that `f(g(x))="tan` `((x+1)/(x+1))dot`

Let f be a real-valued function such that f(x)+2f((2002)/(x))=3x. Then find f(x)

Let f(x)=(x-[x])/(x-[x]+1) , ([.] is G.I.F.) is a real valued function then range of f(x) is

Let f(x)=(x-[x])/(x-[x]+1) , ([.] is G.I.F.) is a real valued function then range of f(x) is

If f(x)=|x-2|a n dg(x)=f[f(x)],t h e ng^(prime)(x)= ______ for x>20

Let f(x) be a function such that f(x), f'(x) and f''(x) are in G.P., then function f(x) is

Let (x) is a real function, defines as f(x) =(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3).

Let f(x)=|x| and g(x)=|x^3|, then (a)f(x)a n dg(x) both are continuous at x=0 (b)f(x)a n dg(x) both are differentiable at x=0 (c)f(x) is differentiable but g(x) is not differentiable at x=0 (d)f(x) and g(x) both are not differentiable at x=0