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Let the functions f: R toR and g: R to R...

Let the functions `f: R toR and g: R to R` be defined as :
`f (x) = {{:(x + 2, """" x lt 0), (x ^(2), """" x gt 0) :} and g (x) = {{:( x ^(3) , """"x lt 1), ( 3x -2, """" x gt 1):}`
Then, the number of points in R where (fog)(x) is NOT differentiable is equal to :

A

0

B

3

C

2

D

1

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