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If the functions f, g and h are defined from the set of real numbers R to R such that
`f(x)=x^(2)-1,g(x)=sqrt((x^(2)+1))`,
`h(x)={{:("0,","if",xle0),("x,","if",xge0):}`
Then find the composite function hofog and determine whether the function fog is invertible and h is the identity function.

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Verified by Experts

The correct Answer is:
(hofog)`(x)AAxinR,h` is not an identity function, fog is not invertible
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