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The image you uploaded contains information on function definitions and compositions. Let's break down the given functions and solve the related questions:

1. **Function Definitions**:
   - Function \( f(x) = x^3 \)
   - Using formula \( f(x) = x + 1 \), we have:
     - \( f(1) = 1 + 1 = 2 \)
     - \( f(2) = 2 + 1 = 3 \)
     - \( f(3) = 3 + 1 = 4 \)
     - \( f(t) = t + 1 \) for a general \( t \).

2. **Function \( g(x) \) and Composition**:
   - The composition \( f(g(x)) \) results in \( g(x) + 1 \).
   - If \( h(x) = f(g(x)) \), then \( h(x) = g(x) + 1 \).

3. **Computing \( g(f(x)) \)**:
   - Given the composition in the reverse order, \( g(f(x)) = f(x) + 1 \) since \( g(x) \) is expected to behave similarly to \( f(x) \) based on its usage in \( h(x) \).

Without the explicit definition for \( g(x) \), we assume it might take the form \( g(x) = x \) based on the pattern observed, meaning \( g(x) = x \) just returns \( x \), making \( g(f(x)) = f(x) \). However, this is based on the general pattern shown and could differ with more information about \( g(x) \).

Would you like more detailed explanations on any of these parts or help with another function composition?

Here are some related questions to consider:
1. What would be the result of \( f(f(x)) \)?
2. How would \( g(g(x)) \) be calculated if \( g(x) \) had a different definition, such as \( g(x) = x + 2 \)?
3. What is the graphical interpretation of composing functions like \( f \) and \( g \)?
4. Could you explore the properties of the identity function within the context of function compositions?
5. How do inverses of functions relate to function compositions?

**Tip**: When working with function compositions, always verify the inner function's output domain matches the outer function's input domain.

Misalkan fungsi f dirumuskan dengan f(x) = x + 2 dan g dirumuskan dengan g(x) = x^3. Temukan komposisi f(g(x)) dan g(f(x)).

Explore the composition of two functions f(x) = x + 2 and g(x) = x^3. Learn how to compute f(g(x)) and g(f(x)) step-by-step, using key algebraic concepts like function composition. Suitable for students in Grades 10-12.

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