" ii) "f(x)=x-(1)/(x),x in R,x!=0

Test whether the following funtions are increasing or decreasing : f(x)=x-(1)/(x), x in R, x ne 0 .

The function f(x)=x-(1)/(x), x in R, x ne 0 is

Prove that functions f(x) = x -(1)/(x) ,x in R and x ne 0 is increasing functions.

The function f(x) = x-1/x, x in R, x ne 0 is increasing

Test weather the following functions are increasing or decreasing: f(x) = x- 1/x, x in R and x ne 0

Show that the function f (x) = (x)/(1 + |x| ) , x in R, is differentiable at x =0. Hence find f '(0).

Let f : R-{1} to R be defined by f(x) =(1+x)/(1-x) AA x in R -{1} then for x ne +-1, (1+f(x)^(2))/(f(x)f(x^(2))) =………….

Deine F(x) as the product of two real functions f_1(x) = x, x in R, and f_2(x) ={ sin (1/x), if x !=0, 0 if x=0 follows : F(x) = { f_1(x).f_2(x) if x !=0, 0, if x = 0. Statement-1 : F(x) is continuous on R. Statement-2 : f_1(x) and f_2(x) are continuous on R.