Let's find the specific expressions for the functions given in the image:

1. \( f(x) = 15x - 1 \)
2. \( f(x) = \sqrt{4x} - 2 \)
3. \( f(x) = 2x^3 - 5 \)
4. \( f(x) = \frac{3}{x - 2} \)

Here is the detailed step-by-step process for each function:

1. **Linear Function:**
   \( f(x) = 15x - 1 \)

2. **Square Root Function:**
   \( f(x) = \sqrt{4x} - 2 \)
   This can be simplified to \( f(x) = 2\sqrt{x} - 2 \) because \(\sqrt{4x} = 2\sqrt{x}\).

3. **Cubic Function:**
   \( f(x) = 2x^3 - 5 \)

4. **Rational Function:**
   \( f(x) = \frac{3}{x - 2} \)

For each function, let me know if you need specific evaluations, derivatives, integrals, or other analyses.

Would you like more details or have any questions? Here are some questions you might want to consider next:

1. What is the derivative of each function?
2. What is the integral of each function?
3. Find the critical points for each function.
4. Determine the domain and range of each function.
5. Evaluate each function at a specific point, for example, \( x = 2 \).

Tip: When dealing with square root and rational functions, always check the domain to ensure the function is defined for the given values.

Discover detailed step-by-step solutions for finding the functions given in the query: f(x) = 15x - 1, f(x) = sqrt(4x) - 2, f(x) = 2x^3 - 5, f(x) = 3 / (x - 2). Explore evaluations, derivatives, integrals, domain, range, and more.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation