Unlock the Domain of Rational Functions
Easily find the domain of any rational function. Just enter your function and visualize the domain instantly!
In the format f(x) = p(x)/q(x), e.g., (x^2 + 1) / (x - 2)
f(x) =
Error!
Domain:
Domain Visualization:
Calculation Steps:
Step :
Understanding Rational Function Domains
A rational function is like a fraction where the numerator and denominator are polynomials. The domain is all possible 'x' values you can plug into the function without causing division by zero.
Key Points:
- Identify the Denominator: This is the polynomial at the bottom of the fraction.
- Set Denominator to Zero: Find the values of 'x' that make the denominator equal to zero.
- Exclude These Values: The domain is all real numbers EXCEPT these values.
Example: For f(x) = 1/(x-2), the denominator is x-2. Setting x-2 = 0 gives x = 2. So, the domain is all real numbers except 2, written as (-\infty, 2) ∪ (2, \infty).
Use this tool to easily calculate and visualize the domain of any rational function!
Learn more at: Khan Academy or Wolfram MathWorld.