Let `f (x) = x^2+ 4x + 1`, then

Let f(x) = (x^(2) + 4x + 1)/( x^(2) + x + 1), x inR If m le f(x) le M AA x in R , then (1)/(2) (M - m) = _______

Let f(x) = (x^2 - 4)/(x^2 + 4) , for |x| > 2 , then the function f: (-oo , -2] cup [2, oo) to (-1,1) is :

Let f(x) =(x+1)^2-1,x ge -1 then {x: f(x) =f^(-1)(x) } =

Let f(x) = x + 1/2 , then the number of real values of x for which the three unequal terms f(x), f(2x), f(4x) are in H.P. is

Let f(x)={x^(2) if 1 4

Let f(x)=x^(2)-4x+7 1. Find the instantaneous rate of change of f at x = 3. 2. Find the average rate of change of f with respect to x between x = 3 and 5.

Let f(x) = (x+2)^(2) - 4, x ge 2 . Let S = {x : f(x) =f^(-1)(x)} , Then S is equals to

Let f (x) = |x – 2| + |x – 3| + |x – 4| and g(x) = f (x + 1) . Then

Let f(x) = x^3 –4x^2 + 8x + 11 , if LMVT is applicable on f(x) in [0, 1], value of c is :