Find an Equation for the Rational Function Graph $f ( x ) = \frac { 2 ( x + 4 ) ( x + 6 ) } { ( x + 3 ) ( x + 6 ) }$

question 248

Multiple Choice

Find an equation for the rational function graph.
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• A) \(f ( x ) = \frac { 2 ( x + 4 ) ( x + 6 ) } { ( x + 3 ) ( x + 6 ) }\)
• B) \(f ( x ) = \frac { 2 ( x - 4 ) } { x - 3 }\)
• C) \(f ( x ) = \frac { 2 ( x - 3 ) ( x - 6 ) } { ( x - 4 ) ( x - 6 ) }\)
• D) \(f ( x ) = \frac { 2 ( x - 4 ) ( x - 6 ) } { ( x - 3 ) ( x - 6 ) }\)

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Definitions:

Domain

The set of all possible input values for a function.

Rational Function

A function represented by the ratio of two polynomials.

Rational Expression

A ratio of two polynomials.

Simplify

The process of reducing an expression or equation to its simplest form, often by combining like terms or applying mathematical operations.