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The image contains a list of mathematical problems related to functions and their compositions. The functions \( f(x) \) and \( g(x) \) are defined as:

- \( f(x) = \frac{x + 1}{x - 1} \)
- \( g(x) = \sqrt{x} - 2 \)

The questions ask to determine the values of the following operations, including inverse functions and compositions:

1. \( f^{-1}(2) \)
2. \( g^{-1}(2) \)
3. \( g^{-1}(1) \)
4. \( f^{-1}(1) \)
5. \( (f \circ g)(2) \)
6. \( (g \circ f)(2) \)
7. \( (f \circ g)^{-1}(2) \)
8. \( (g \circ f)^{-1}(2) \)
9. Given \( h(x) = (x-1)^3 \) and \( h(x) = f \circ g \), determine \( f \) and \( g \).
10. Given \( h(x) = \frac{x}{x^2 + 1} \) and \( h(x) = f \circ g \), determine \( f \) and \( g \).
11. Given \( h(x) = (x-3)^3 \) and \( h(x) = f \circ g \), determine \( f \) and \( g \).

Would you like me to begin solving these step by step?

Untuk soal nomor 1 sampai dengan 11 diketahui f(x) = (x + 1) / (x - 1) dan g(x) = sqrt(x) - 2 tentukan nilai-nilai dari fungsi dan komposisi fungsi berikut ini jika memungkinkan.

Learn how to solve inverse and composition of functions involving f(x) = (x+1)/(x-1) and g(x) = sqrt(x)-2. This exercise involves algebraic manipulation, function composition, and inverse functions for high school students.

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