Home
Class 12
MATHS
Let f:RtoR and g:RtoR be respectively gi...

Let `f:RtoR` and `g:RtoR` be respectively given by `f(x)=|x|+1` and `g(x)=x^(2)+1`. Define `h:RtoR` by
`h(x)={("max"{f(x),g(x)}, "if" xle0),("min" {f(x), g(x)}, "if"xgt0):}`
The number of points at which h(x) is not differentiable is :

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Similar Questions

Explore conceptually related problems

f:[0,2pi]rarr[-1,1] and g:[0,2pi]rarr[-1,1] be respectively given by f(x)=sin and g(x)=cosx . Define h:[0,2pi]rarr[-1,1] by h(x)={("max"{f(x),g(x)} "if"0lexlepi),("min"{f(x),g(x)} "if" piltxle2pi):} number of points at which h(x) is not differentiable is

Let f:R rarr R and g:R rarr R be respectively given by f(x)=|x|+1 and g(x)=x^(2)+1. Define h:R rarr R by h(x)={max{f(x),g(x)},quad if x 0 The number of points at which h(x) is not differentiable is

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

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) be defined in the interval [-2,2] such that f(x)={-1;-2<=x<=0} and f(x)={x-1;0

If f:RtoR is defined by f(x)=|x| , then

If, from RtoR,f(x)=(x+1)^2 and g(x)=x^2+1, then: (f@g)(-3)=