Use the Functions $f ( x ) = x + 4$

question 104

Multiple Choice

Use the functions $f ( x ) = x + 4$ and $g ( x ) = 5 x - 7$ to find $( g \circ f ) ^ { - 1 }$ .

• A) \(( g \circ f ) ^ { - 1 } = \frac { 5 x + 11 } { 4 }\)
• B) \(( g \circ f ) ^ { - 1 } = 5 x - 42\)
• C) \(( g \circ f ) ^ { - 1 } = \frac { x - 13 } { 5 }\)
• D) \(( g \circ f ) ^ { - 1 } = \frac { - 7 x - 7 } { 5 }\)
• E) \(( g \circ f ) ^ { - 1 } = 5 x + 13\)

---

Definitions:

Product Price

The amount of money charged for a product, determined by costs, market demand, and competition.

Natural Monopoly

A market condition where a single firm can supply the entire market at a lower cost than any combination of two or more firms due to economies of scale.

Social Regulation

Government-imposed regulations aimed at improving health, safety, and the welfare of the public, covering issues like pollution and workplace safety.

Antitrust Policy

Regulations and laws designed to promote competition and prevent monopolies, protecting consumers from predatory business practices.