Simplify the Rational Expression $$\frac { 7 x - 14 } { 4 - x ^ { 2 } } \cdot \frac { 6 x ^ { 2 } + 7 x + 1 } { 42 x + 7 }$$

question 109

Multiple Choice

Simplify the rational expression. (Assume the denominator is nonzero.)
- $$\frac { 7 x - 14 } { 4 - x ^ { 2 } } \cdot \frac { 6 x ^ { 2 } + 7 x + 1 } { 42 x + 7 }$$

• A) \(\frac { x + 1 } { 2 - x }\)
• B) \(- \frac { 7 ( x + 1 ) } { x + 2 }\)
• C) \(\frac { x + 1 } { x + 2 }\)
• D) \(- \frac { x + 1 } { x + 2 }\)

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Definitions:

Fixed Costs

Costs that do not vary with the level of production or services provided.

Marginal Cost Curve

A graphical representation that shows how the marginal cost of producing additional units changes with the level of output.

Average Total Cost

The total cost of production (fixed and variable costs) divided by the total output or quantity produced.

Fixed Costs

Costs that do not vary with the level of production or sales, such as rent, salaries, and insurance payments.