Given F(x) and G(x), Find the Indicated Composition and State $\mathrm { f } ( \mathrm { x } ) = \frac { 1 } { \mathrm { x } - 5 }$

question 2

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
-For $\mathrm { f } ( \mathrm { x } ) = \frac { 1 } { \mathrm { x } - 5 }$ and $g ( x ) = \frac { 7 } { \mathrm { x } }$ , what is the domain of $g \cdot \mathrm { f }$ ?

• A) \(( - \infty , 0 ) \cup \left( 0 , \frac { 7 } { 5 } \right) \cup \left( \frac { 7 } { 5 } , \infty \right)\)
• B) \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• C) \(( - \infty , 0 ) \cup ( 0,5 ) \cup ( 5 , \infty )\)
• D) \(( - \infty , 5 ) \cup ( 5 , \infty )\)

---

Definitions:

Monopoly

A market structure characterized by a single seller, selling a unique product in the market with no close substitutes, often leading to less competitive markets.

Marginal Cost

The cost of producing one additional unit of a good or service, taking into account factors that vary with production levels.

Average Cost

The total cost of production divided by the number of units produced, indicating the cost per unit of output.

Rent-Seeking Behavior

Activities aimed at increasing one's share of existing wealth without creating new wealth, often through manipulating the social or political environment.