Let f(x) = ||x| -1| , g(x) = |x| + |x-2| , h (x) = `max, { 1,x,x^(3)}` If a, b,c are the no .of points where f(x), g(x) and h(x) , are not differentiable then the value of a+ b + c is …..\

Let f(x)=x, g(x)=1//x and h(x)=f(x) g(x). Then, h(x)=1, if

Let f(x)=sin x,g(x)={{max f(t),0 pi Then number of point in (0,oo) where f(x) is not differentiable is

If f@g=g@f, where f(x)=2x+5 and g(x)=3x+h, then: h=

If f(x)=(x-1)/(x+1), g(x)=1/x and h(x)=-x . Then the value of g(h(f(0))) is:

Given f(x)=(1)/(1-x),g(x)=f{f(x)} and h(x)=f{f{f(x)}} then the value of f(x)g(x)h(x) is

Let f(x)=sgn(x) and g(x)=x(1-x^(2)) The number of points at which f(g(x)) is not continuous and non-differentiable is

Let f(x) = {{:(min{x, x^(2)}, x >= 0),(max{2x, x^(2)-1}, x (A) f(x) is continuous at x=0 (B) f(x) is differentiable at x=1 (C) f(x) is not differentiable at exactly three point (D) f(x) is every where continuous

Given f(x) = (1)/((1-x)) , g(x) = f{f(x)} and h(x) = f{f{f(x)}}, then the value of f(x) g(x) h(x) is

Let f:(-1,1)rarr R be defined as f(x)=max(-|x|,-sqrt(1-x^(2))), then number of points where it is non-differentiable are equal to (a) 1 (b) 2 (c) 3 (d) 4