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The document you uploaded appears to be a mathematics exercise focused on inverse functions, written in Indonesian. Below is the transcription and translation of the questions:

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**ULANGAN HARIAN FUNGSI INVERS**

Complete the following questions correctly!

1. Determine whether the following situations represent functions or not, and explain why:
   - a. The relationship between time and population.
   - b. The relationship between a student and their body weight.
   - c. The relationship between students and their favorite food.
   - d. {(1,1),(1,2),(2,b),(3,d)}

2. Determine the domain of the following functions:
   - a. \( f(x) = \frac{x - 4}{3x + 9} \)
   - b. \( f(x) = \sqrt{4x - 12} \)

3. Determine the domain of the function \( f(x) = x^2 - 3x - 15 \) so that it has an inverse function.

4. Determine the inverse function from the following functions:
   - a. \( f(x) = \frac{3x - 6}{5x - 2} \)
   - b. \( f(x) = \frac{3 - x}{2x}, x \neq 0 \)

5. Draw the inverse of the following graph.

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### 5 Relative Questions:
1. What is the definition of a function in mathematics?
2. How do you find the domain of a rational function?
3. How do you determine if a function has an inverse?
4. What is the process for finding the inverse of a rational function?
5. How do you reflect a graph to find its inverse?

### Tip:
To find the inverse of a function, swap the roles of \(x\) and \(y\) in the equation and solve for \(y\).

Ulangan Harian Fungsi Invers - Determine if the following situations are functions, find the domain of given functions, check for the existence of inverses, find inverse functions, and graph the inverse.

Practice problems on inverse functions, including identifying whether a relation is a function, determining the domain of functions, and finding their inverses. Suitable for high school students, grades 10-12.

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