## Math Problem Statement

Given a function f(x)= (2x^2-5x+3)/(x^2+5x)

(i) Find the horizontal and vertical asymptotes.

(ii) Find the domain of rational function. Show all steps.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Rational Functions

Asymptotes

Domain of Functions

Algebra

### Formulas

Horizontal Asymptote for Rational Function: y = Leading Coefficient of Numerator / Leading Coefficient of Denominator

Vertical Asymptote: Set Denominator to 0 and Solve

Domain of Rational Functions: Exclude values that make the denominator zero

### Theorems

The rule of asymptotes for rational functions

The domain theorem for rational functions

### Suitable Grade Level

Grades 10-12

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