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Q.

Let the functions f:R→R and g:R→R be defined as: fx=x+2,x<0x2,x≥0 and g(x)=x3x<13x-2,x≥1Then the number of points in R where f∘gx  is not differentiable is equal to

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a

0

b

2

c

1

d

3

answer is C.

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Detailed Solution

fogx=x3+3;x<0x6;0≤x<13x−22;x≥1 At x=0, discontinuous, hence not differentiableAt x=1, the function is continuous and differentiable
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