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:

Percentage

A fraction or ratio expressed as a part of one hundred, used to quantify relative sizes or fractions in a numerical or statistical context.

Since 1970

Refers to the period beginning in the year 1970, often used to denote significant social, economic, or technological changes from that time onward.

Incest Taboos

Social and cultural prohibitions against sexual relationships between certain relatives, considered universal across societies to prevent genetic disorders and social chaos.

Exogamy Rules

Social norms that dictate that marriage or mating must occur outside certain social, cultural, or familial groups.