Determine $( g \circ f ) ( x )$ For the Pair of Functions F ( X ) =

question 175

Multiple Choice

Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 4 x + 8 and g ( x ) = x 2 + 3.

• A) (4 x + 8) ² + 3
• B) 4 x + 11
• C) (8 x + 4) 2 \(-\) 3
• D) (4 x \(-\) 8) 2 \(-\) 3

---

Definitions:

Marginal Rate

The rate at which one variable changes as another variable changes marginally or slightly.

Substitution

The economic principle of replacing one input or good for another due to changes in prices or preferences.

Indifference Curve

A graph representing different combinations of goods or services among which a consumer is indifferent, showing preference levels.

Utility Function

A mathematical representation of a consumer’s preference, showing the amount of satisfaction or utility derived from consuming various bundles of goods and services.