Math Problem Statement

f(x) = 3 / (x - 1)

Solution

The provided image shows the function:

f(x)=3x1.f(x) = \frac{3}{x - 1}.

Would you like to analyze this function further (e.g., finding domain, asymptotes, derivatives, or integrals)? Let me know how you'd like to proceed!


Here are five relative questions we could explore:

  1. What is the domain of f(x)=3x1f(x) = \frac{3}{x - 1}?
  2. What are the vertical and horizontal asymptotes of this function?
  3. How does the graph of f(x)f(x) behave as x1+x \to 1^+ and x1x \to 1^-?
  4. What is the derivative f(x)f'(x) of this function, and how does it describe the rate of change?
  5. What is the integral f(x)dx\int f(x) \, dx?

Tip: Always check for undefined points in a rational function by identifying where the denominator equals zero.

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Functions
Domain and Asymptotes

Formulas

f(x) = A / (x - h) for vertical asymptotes and rational behavior

Theorems

Vertical Asymptotes occur when the denominator equals zero

Suitable Grade Level

Grades 9-12