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f(x)={{:(x-1",", -1 le x 0),(x^(2)",",0 ...

`f(x)={{:(x-1",", -1 le x 0),(x^(2)",",0 lt x le 1):}` and g(x)=sinx. Find `h(x)=f(abs(g(x)))+abs(f(g(x))).`

A

h(x) is continuous for `x in [-1, 1]`

B

h(x) is differentiable for `x in [-1, 1]`

C

h(x) is differentiable for `x in [-1, 1] - {0}`

D

h(x) is differentiable for `x in (-1, `)-{0}`

Text Solution

Verified by Experts

The correct Answer is:
C
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