The Graph of the Function Y $y = f ( x ) \text { is given. On the same axes, sketch the graph of } f ^ { - 1 } ( x )$

question 242

Multiple Choice

The graph of the function y $y = f ( x ) \text { is given. On the same axes, sketch the graph of } f ^ { - 1 } ( x )$ . Use a dashed line for the inverse
function.
-A size 4 dress in Country C is size 42 in Country D. A function that converts dress sizes in Country $C$ to those in Country $D$ is $f ( x ) = x + 38$ . Find a formula for the inverse of this function.

• A) \(f ^ { - 1 } ( x ) = x + 38\)
• B) \(f ^ { - 1 } ( x ) = \frac { x } { - 38 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 38 }\)
• D) \(f ^ { - 1 } ( x ) = x - 38\)

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Definitions:

Restaurant Industry

A sector of the economy comprising establishments primarily engaged in preparing and serving meals, snacks, and beverages for immediate consumption.

Metropolitan Area

A region consisting of a densely populated urban core and its less-populated surrounding territories, sharing industry, infrastructure, and housing.

Monopolistically Competitive

A business environment defined by numerous companies offering products that are alike but not exactly the same, providing them with a certain level of influence over the market.

Pure Monopolist

A market scenario where a single firm is the sole provider of a product or service, without any close substitutes, giving the firm significant market power to influence prices.