https://file.aiquickdraw.com/mathbot/file/17260575771192qzn23sw.jpg

I have displayed the image you uploaded. Based on its content, it shows two mathematical functions from examples (Contoh 45 and Contoh 46). I will now create graph representations for the two functions mentioned.

For **Contoh 45**, the functions appear to be:
- \( g = \{ (1, w), (2, u), (3, v) \} \)
- \( f = \{ (u, y), (v, z), (w, z) \} \)
- The composition \( f \circ g \) is \( \{ (1, y), (2, y), (3, z) \} \)

For **Contoh 46**, the functions are:
- \( f(x) = x - 1 \)
- \( g(x) = x^2 + 1 \)
- You are asked to find \( f \circ g(x) \) and \( g \circ f(x) \).

I'll generate graphs for these functions now.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you have any other questions or would like further explanations, feel free to ask!

Here are five questions related to the content:
1. What does the composition of functions \( f \circ g \) represent in terms of mappings?
2. How can you calculate the inverse of a function composition?
3. What are the domain and range of the function \( f(x) = x - 1 \)?
4. How does the behavior of \( g(x) = x^2 + 1 \) differ from other quadratic functions?
5. What are some applications of function composition in real-world problems?

**Tip:** Always remember that the order of composition of functions matters, \( f(g(x)) \) is different from \( g(f(x)) \).

This problem involves the composition of functions, including a linear function f(x) = x - 1 and a quadratic function g(x) = x^2 + 1. It explores how to find the composition f(g(x)) and g(f(x)), offering an insightful look into algebra and function mappings. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation