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

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.