Let the functions f:(-l, 1) 
R and g: (-1, 1) 
(-1, 1) be defined by
f(x) = |2x - 1| + |2x + 1| and g(x) = x - [x],
where [x] denotes the greatest integer less than or equal to x. Let fog :(-!, 1) -^ R be the composite function defined by (fog)(x) = f(g(x)). Suppose c is the number of points in the interval (-1,1) at which fog is NOT continuous, and suppose d is the number of points in the interval (—1,1) at which fog is NOT differentiable. Then the value of c + d is_____
Text Solution
Verified by Experts4
(4)
f(x) = |2x-l| + |2x+l|
g(x)={x}
Dis-continuous at x = 0 
c=l
non-differentiable at x = 
d=3
c + d = 4
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