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) \(f ^ { - 1 } ( x ) = x - 38\)

---

Definitions:

Hearing Measurement

The assessment of an individual's ability to perceive sounds, typically evaluated using audiometric tests.

Turning Up Volume

The action of increasing the sound level of an audio device.

Audio Equipment

Devices used for the recording, amplification, mixing, and reproduction of sound.

Middle Ear Infections

Infections occurring in the air-filled space behind the eardrum that contain tiny vibrating bones, often resulting in pain, fever, and hearing difficulties.