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### Problem 9
We are given:
- \( f(x) = x - 1 \)
- \( g(x) = \frac{x + 2}{5} \)
- \( h(x) = 3x + 5 \)

If \( F(x) = f(g(h(x))) \), we are asked to find \( F^{-1}(x) \).

**Solution Steps:**
1. First, calculate \( h(g(f(x))) \):
   \[
   h(x) = 3x + 5
   \]
   Substitute \( x \) in \( f \), \( g \) with \( h(x)\)

Given the functions f(x) = x - 1, g(x) = (x + 2)/5, and h(x) = 3x + 5, find F^{-1}(x) if F(x) = f(g(h(x))).

Learn how to find the inverse of a composite function F(x) = f(g(h(x))) using given functions f(x), g(x), and h(x). This problem covers function composition, inverse function properties, and is suitable for advanced high school mathematics students.

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