Let `f(x)=x+(1)/(x),xne0.` Discuss the maximum and minimum value of f(x).

If the function y= sin(f(x)) is monotonic for all values of x [ where f(x) is continuous], then the maximum value of the difference between the maximum and the minumum value of f(x) is

Let f(x)=(alphax)/(x+1),xne0 , then for what value of alpha is f[f(x)]=x ?

If f(x) = (|X|)/(X) . Discuss the continuity at x = 0

Find the absolute maximum and minimum values of a function f given by f(x) = 2x^(3) – 15x^(2) + 36x +1 on the interval [1, 5].

Let f(x) = ( 2x+1)/(1-3x) , then f^-1 (x) =

Let f(x)=x(x-1)^(2), find the point at which f(x) assumes maximum and minimum.

Find absolute maximum and minimum values of a function f given by f(x) =12x^((4)/(3))-6x^((1)/(3)),x in [-01,1]

Let f(x)=[x] , then f(x) is :