Find the Domain of the Composite Function F∘g $$f ( x ) = \sqrt { x } ; \quad g ( x ) = 6 x + 6$$

question 350

Multiple Choice

Find the domain of the composite function f∘g.
- $$f ( x ) = \sqrt { x } ; \quad g ( x ) = 6 x + 6$$

• A) \([ - 1 , \infty )\)
• B) \([ 0 , \infty )\)
• C) \(( - \infty , - 1 ]\) or \([ 0 , \infty )\)
• D) \(( - \infty , \infty )\)

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Definitions:

Indifference Map

A graph representing a set of indifference curves to illustrate consumer preferences for different combinations of goods, assuming equal satisfaction.

Total Utility

The total satisfaction received from consuming a particular quantity of goods or services.

Money Income

The complete sum of money earned by an individual or a household that includes earnings from work, salaries, and additional income sources.

Budget Line

A graphical depiction of all possible combinations of two goods that can be purchased with a given budget and prices.