Provide an Appropriate Response $f ( x ) = x + 5$

question 28

Multiple Choice

Provide an appropriate response.
-Find the inverse of the function $f ( x ) = x + 5$ . How is the graph of $f ^ { - 1 }$ related to the graph of $f$ ?

• A) \(f ( x ) = \frac { 1 } { x } + 5\). The graph of \(f ^ { - 1 }\) is a curve intersecting the graph of \(f\) at two points equidistant from the \(y\)-axis.
• B) \(f ( x ) = x + \frac { 1 } { 5 }\). The graph of \(f ^ { - 1 }\) is a line parallel to the graph of \(f\). The graphs of \(f\) and \(f ^ { - 1 }\) lie on the same side of the line \(y = x\).
• C) \(f ( x ) = - x - 5\). The graph of \(f ^ { - 1 }\) is a line perpendicular to the graph of \(f\) at \(x = 5\).
• D) \(f ( x ) = x - 5\). The graph of \(f ^ { - 1 }\) is a line parallel to the graph of \(f\). The graphs of \(f\) and \(f ^ { - 1 }\) lie on opposite sides of the line \(y = x\) and are equidistant from that line.

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Definitions:

Eye Orbit

The bony cavity in the skull that houses and protects the eye and its associated structures.

Lacrimal Bone

Small, thin bones located at the front part of the inner wall of the eye socket, forming part of the orbit.

Paranasal Sinuses

Air-filled spaces located around the nasal cavity that contribute to voice resonance and mucus production.

Ethmoid Bone

A spongy, delicate bone that forms part of the cranial floor and nasal cavity, contributing to the nasal septum and the orbital walls.