Direction : Consider the following for the items that follow : 

Let f o g(x) =cos² √x and g o f(x) = |cos x|. 

Which one of the following is g(x)? 

Direction : Consider the following for the items that follow :

Let f(x) = |x|² - |x²|

What is f(0.999) + f(1.001) equal to

Direction : Consider the following for the items that follow :

Let f(x) = |x|² - |x²|

Consider the following statements : 

I. f(x) is continuous at x = 0. 

Il. f(x) is continuous at x = 1 

Which of the statements given above is/are correct? 

Direction : Consider the following for the items that follow :

Let f(x) = cos2x + x on [-π/2, π/2]. 

What is the greatest value of f(x)?