Determine Whether the Function Has an Inverse Function $f ( x ) = x ^ { 2 } + 5$

question 47

Multiple Choice

Determine whether the function has an inverse function. If it does, find the inverse function.
$f ( x ) = x ^ { 2 } + 5$

• A) No inverse function exists.
• B) \(f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0\)
• C) \(f ^ { - 1 } ( x ) = \sqrt { x } - 5\)
• D) \(f ^ { - 1 } ( x ) = \sqrt { x + 5 } , x \geq - 6\)
• E) \(f ^ { - 1 } ( x ) = \sqrt { x - 5 }\)

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