Find the Domain of the Rational Function $$f ( x ) = \frac { 2 x ^ { 2 } - 4 } { 3 x ^ { 2 } + 6 x - 45 }$$

question 212

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { 2 x ^ { 2 } - 4 } { 3 x ^ { 2 } + 6 x - 45 }$$

• A) \(\{ x \mid x \neq - 5 , - 3,3 \}\)
• B) \(\{ x \mid x \neq - 5,3 \}\)
• C) \(\{ x \mid x z - 3,5 \}\)
• D) all real numbers

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Definitions:

Machine-hour

A unit of measure representing the operation of a machine for one hour, often used in cost accounting to allocate expenses.

Cost Formula Equation

An equation used to predict the total cost of production, combining both fixed and variable costs.

High-low Method

A technique used in cost accounting to estimate fixed and variable costs based on the highest and lowest levels of activity.

Mixed Cost

A cost that contains both variable and fixed cost elements, changing in total with changes in the activity level but not proportionately.