Define the functions $f, g$ and $h$ from $R$ to $R$ such that $f(x) = x^2 - 1, g(x) = \sqrt{x^2 + 1}$ and $h(x) = \begin{cases} 0, & x \leq 0 \\ x, & x \geq 0 \end{cases}$ Consider the following statements:
- A$f \circ g$ is invertible
- B$h$ is an identity function
- C$f \circ g$ is not invertible
- D$(h \circ f \circ g)(x) = x^2$
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