Let $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 } - 1$

question 20

Multiple Choice

Let $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 } - 1$ . Find the domain of the composite function. $( g \circ f ) ( x )$

• A) \([ - 1 , \infty )\)
• B) \(\quad ( - \infty , - 1 ]\)
• C) \(\quad ( - \infty , - 1 )\)
• D) \(( - \infty , \infty )\)
• E) \(( - 1 , \infty )\)

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Definitions:

Total Utility

The total satisfaction or benefit received by consuming a particular quantity of a good or service.

Price Ratio

The relative price of one good or service compared to another, often indicating how many units of one good can be exchanged for one unit of another.

Price

The monetary value anticipated, needed, or dispensed for acquiring something.

Utility Increases

A situation where the satisfaction or benefit derived from consuming goods or services rises.