Math Problem Statement

y = (x^2 - 1) / (x^2 + 1)

Solution

The equation in the image is:

y=x2−1x2+1.y = \frac{x^2 - 1}{x^2 + 1}.

Let me know what you'd like to do with this! For example:

  1. Simplify it further, if possible.
  2. Analyze its domain and range.
  3. Find any asymptotes.
  4. Graph it.
  5. Solve for xx in terms of yy.

Would you like me to start with any of these, or do you have a specific question?

Tip: Always check the denominator of a fraction for values that make it zero when analyzing the domain!

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Math Problem Analysis

Mathematical Concepts

Algebra
Rational Functions
Domain and Range Analysis
Asymptotes

Formulas

Rational Function: y = (x^2 - 1) / (x^2 + 1)

Theorems

Domain of Rational Functions
Asymptote Analysis
Range of Rational Functions

Suitable Grade Level

Grades 9-12

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