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The image contains a set of math problems in Indonesian. Below is a translation and brief explanation of each:

1. **(Skor 8)** Solve the following inequalities and express the solution set in three notations (interval, set, and on the real number line):
   a. \(x^2 - 2x + 2 \leq 6x - x^2 - 3\)  
   b. \(|2x + 3| > |x - 3|\)

2. **(Skor 10)** Given that \(f(x) = x^2\), sketch the graph of the function \(g(x) = 3x^2 - 12x + 16\) by transforming the graph of \(f(x)\).

3. **(Skor 12)** Given \(f(x) = \frac{2x}{x - 3}\) and \(g(x) = \sqrt{2x} - 5\), determine \((f \circ g)(x)\) and the domain \(D_{(f \circ g)}\).

4. **(Skor 13)** Prove that \(\lim_{x \to 2} 3x + 2 = 8\).

5. **(Skor 12)** Calculate \(\lim_{t \to 0} \frac{\sin(2t) + 5t}{t \sec(t)}\).

6. **(Skor 13)** Determine the horizontal and vertical asymptotes of the function:
   \[
   f(x) = \frac{6x^2 - 30x + 36}{2x^2 - 2x - 12}.
   \]

7. **(Skor 20)** Identify the points at which the following function is discontinuous:
   \[
   f(x) = \begin{cases} 
   2x^2 - 1, & x < -2 \\
   2x - 2, & -2 \leq x < 2 \\
   3x - x^2, & x \geq 2 
   \end{cases}
   \]

Would you like a detailed solution for one or more of these problems? Let me know!

Here are 5 related questions to extend the topic:
1. How do you graph transformations of quadratic functions systematically?
2. What methods are used to find the domain of composite functions?
3. How can horizontal and vertical asymptotes be determined from a rational function?
4. What conditions make a function discontinuous at certain points?
5. How do you compute limits that involve trigonometric functions and secant?

**Tip**: When solving inequalities involving absolute values, consider splitting the equation into cases based on the critical points where the expressions inside the absolute value change signs.

Solve a series of mathematical problems related to inequalities, graph transformations, composite functions, limits, and asymptotes.

This problem set involves solving quadratic inequalities, graph transformations, and determining the limits, asymptotes, and points of discontinuity in various functions. It covers algebraic transformations, limit theorems, and rational function properties. Suitable for high school students in Grades 10-12.

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