Home
Class 12
MATHS
Let f : R rarr R be a function defined a...

Let `f : R rarr R` be a function defined as
`f(x) = {{:(3(1-(|x|)/(2)),"if",|x| le 2),(0,"if",|x| ge 2):}`
Let `g : R rarr R` be given by `g(x) = ƒ(x + 2) – ƒ(x – 2)`. If n and m denote the number of points in R where g is not continuous and not differentiable, respectively, then n + m is equal to _______.

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=|2x^(2)+5|x|-3|,x in R .If "m" and "n" denote the number of points where "f" is not continuous and not differentiable respectively,then "m+n" is equal to:

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R rarr R be a function is defined by f(x)=x^(2)-(x^(2))/(1+x^(2)), then

let f:R rarr R be a continuous function defined by f(x)=(1)/(e^(x)+2e^(-x))

Let f : R - {n} rarr R be a function defined by f(x)=(x-m)/(x-n) , where m ne n . Then,

Let g, f:R rarr R be defined by g(x)=(x+2)/(3), f(x)=3x-2 . Write fog (x)

Let f : R to R and g : R to R be given by f (x) = x^(2) and g(x) =x ^(3) +1, then (fog) (x)

Let f:R rarr R be defined by f(x)=(x)/(x^(2)+1) Then (fof(1) equals