Find the Domain of the Rational Expression $f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 11 x + 30 }$

question 218

Multiple Choice

Find the domain of the rational expression.
- $f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 11 x + 30 }$

• A) \(\{ x \mid x\) is a real number and \(x \neq 6 , x \neq 5 \}\)
• B) \(\{ x \mid x\) is a real number and \(x \neq 0 \}\)
• C) \(\{ x \mid x\) is a real number and \(x \neq 7 , x \neq - 7 \}\)
• D) \(\{ x \mid x\) is a real number and \(x \neq - 6 , x \neq - 5 \}\)

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Definitions:

Price Controls

Government-imposed limits on the prices that can be charged for goods and services in a market.

Inequities

Unfair, avoidable differences in treatment or opportunities across individuals or groups.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price level in a given period.

Equilibrium Price

The cost at which the amount of products offered matches the amount of products requested.