Math Problem Statement
(3x/x-3)
Solution
It seems you're working with an expression:
This expression is a rational function, meaning it is a fraction where both the numerator and denominator are polynomials. Let's break it down:
- Numerator:
- Denominator:
Important notes:
- This expression is undefined if , since the denominator would become zero, leading to division by zero.
- For any other values of , the expression simplifies as it is.
So, the expression remains:
Would you like more details on how to work with this expression, or do you have any specific questions?
Here are 5 related questions:
- What happens when you substitute specific values of into this expression?
- How do you graph a rational function like ?
- Can you simplify the expression further under certain conditions?
- What is the domain of the function ?
- How does the function behave as approaches 3 from either side?
Tip: Always check for points where the denominator becomes zero when working with rational expressions!
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Functions
Formulas
Rational function: f(x) = p(x)/q(x)
Domain restrictions: Denominator ≠ 0
Theorems
Undefined points in rational functions
Suitable Grade Level
Grades 9-11