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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