If `f(x)=|x-1|+|x-2|+|x-3|`, `2 lt x lt 3` then `f` is

If f(x)=sqrt(x-2) , for 2 lt x lt 4 , then f(x) is

Let f (x) be defined as f (x) ={{:(|x|, 0 le x lt1),(|x-1|+|x-2|, 1 le x lt2),(|x-3|, 2 le x lt 3):} The range of function g (x)= sin (7 (f (x)) is :

Statement 1 : f (x) = |x - 3| + |x - 4| + |x - 7| where 4 lt x lt 7 is an identity function. Statement 2 : f : A to A defined by f (x) = x is an identity function.

If f(x)={:{(x-1", for " 1 le x lt 2),(2", for " x=2),(2x-3", for " 2 lt x lt 3):} , then f has removable discontinuity at x=2 , if f(2)=

If f(x)={{:(,4,-3lt x lt -1),(,5+x,-1le x lt 0),(,5-x,0 le x lt 2),(,x^(2)+x-3,2 lt x lt 3):} then, f(|x|) is

If f(x)=x-x^2+x^3-x^4+....oo, |x| lt 1 then f'(x)=

If f(x) = log ((1+x)/(1-x)) , where -1 lt x lt 1 then f((3x+x^(2))/(1+3x^(2))) - f((2x)/(1+x^(2))) is equal to

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

If f(x)=x-x^2+x^3-x^4+... where |x| lt 1 , then: f^-1(x)=