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Let the function f, g, h are defined fro...

Let the function `f, g, h` are defined from the set of real numbers `RR` to `RR` such that `f(x) = x^2-1, g(x) = sqrt(x^2+1), h(x) = {(0, if x lt 0), (x, if x gt= 0):}.` Then `h o (f o g)(x)` is defined by

A

`{{:(0"," x = 0),( x ^(2) "," x gt 0),( -x ^(2) "," x lt 0):}`

B

`{{:(0, x =0),(x ^(2) , x ne 0):}`

C

`{{:(0, x le 0),( x ^(2) , x gt 0):}`

D

None of these

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The correct Answer is:
B
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