Find the Domain of the Rational Expression $f ( x ) = \frac { 3 x - 4 } { 8 }$

question 23

Multiple Choice

Find the domain of the rational expression.
- $f ( x ) = \frac { 3 x - 4 } { 8 }$

• A) \(\{ x \mid x\) is a real number \(\}\)
• B) \(\{ x \mid x\) is a real number and \(x \neq 0 \}\)
• C) \(\{ x \mid x\) is a real number and \(x \neq 8 \}\)
• D) \(\left\{ x \mid x \right.\) is a real number and \(\left. x \neq \frac { 4 } { 3 } \right\}\)

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Definitions:

Average Total Cost

The cost per unit produced, found by taking the total production costs and dividing it by the quantity of items produced.

Price-taker Firm

A firm that has no control over the market price and must accept the prevailing market price for its product or service.

Competitive Price-searcher Firm

A business that operates in a market where firms have some degree of control over the prices they charge, often because of product differentiation.

Entry Barriers

Obstacles that make it difficult for new competitors to enter a market, including high startup costs, strict regulations, and established brand loyalty.