The Function $f ( x ) = x ^ { 2 } - 5$

question 243

Multiple Choice

The function $f ( x ) = x ^ { 2 } - 5$ is one-to-one on the domain $( x \leq 0 )$ .Find $f ^ { - 1 } ( x )$ .

• A) \(f ^ { - 1 } ( x ) = x ^ { 2 } + 5\)
• B) \(f ^ { - 1 } ( x ) = \sqrt { x + 5 }\)
• C) \(f ^ { - 1 } ( x ) = - \sqrt { x + 5 }\)
• D) \(f ^ { - 1 } ( x ) = \frac { 1 } { x ^ { 2 } - 5 }\)
• E) \(f ^ { - 1 } ( x ) = \sqrt { x - 5 }\)

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