Math Question
![Use composition to determine if \( G(x) \) or \( H(x) \) is the inverse of \( F(x) \) for the limited domain \( x \geq-1 \).
\[
\begin{array}{l}
F(x)=\sqrt{x+1} \\
G(x)=x^{2}-1 \\
H(x)=x^{2}+1
\end{array}
\]
A. \( H(x) \) is the inverse of \( F(x) \).
B. Neither function is the inverse of \( F(x) \).
C. Both functions are inverses of \( F(x) \).
D. \( G(x) \) is the inverse of \( F(x) \).](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/2/3e6c329c-a5c2-4a3a-8385-429bb7d60d23.png "Use composition to determine if \( G(x) \) or \( H(x) \) is the inverse of \( F(x) \) for the limited domain \( x \geq-1 \).
\[
\begin{array}{l}
F(x)=\sqrt{x+1} \\
G(x)=x^{2}-1 \\
H(x)=x^{2}+1
\end{array}
\]
A. \( H(x) \) is the inverse of \( F(x) \).
B. Neither function is the inverse of \( F(x) \).
C. Both functions are inverses of \( F(x) \).
D. \( G(x) \) is the inverse of \( F(x) \).")
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