" If "f(x)=(1)/(4x^(2)+2x+1)" ,then its maximum value is "

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^2)+sqrt(x^2-1) , then the maximum value of (f(x))^2 is ____________

If f(x)=sqrt(4-x^(2))+sqrt(x^(2)-1), then the maximum value of (f(x))^(2) is

Suppose f(x)=(1)/(2)x^(2)-8 for -4lexle4 . Then the maximum value of the graph of |f(x)| is

Consider the function f(X)=(x^(2)-x+1)/(x^(2)+x+1) What is the maximum value of the fucnction ?

Consider the following statements in respect of the function f(x)=x+(1)/(x), 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1. Which of the above statements is /are correct?