Let `f(x)={1+|x|,x<-1 [x],xgeq-1` , where [.] denotes the greatest integer function. The find the value of `f{f(-2.3)}dot`

Let f(x) = |x|-1|, then points where f(x), is not differentiable is/are :

Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x 0)g(f(x)).

Let f(x)={(1+x, 0 le x le 2), (3-x, 2 lt x lt 3):} Discuss the continuity of f, f' on [0, 2].

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0

Let f(x)={(1+x, 0 le x le 2), (3-x, 2 lt x lt 3):} Determine the form of g(x) = f[f(x)] and hence find the points of discontinuity of g, if any.

Let f(x)=|log|x||, then-

Let f(x) = x(1/(x - 1) + 1/x + 1/(x + 1)), x gt 1 , Then

Let f(x)=(x)/(1+|x|) Domain of f(x) is-

Let f(x)=(x)/(1+|x|) Range of f(x) is -

Let f(x)=(x)/(1+|x|) Interval of increase of f(x) is -