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) \(f ^ { - 1 } ( x ) = \sqrt { x - 5 }\)

---

Definitions:

Weld Symbol

A set of standard symbols used on blueprints and drawings to specify the type of weld, its size, and other processing and finishing information.

Countersink

A conical-shaped recess around a hole often used to allow the flat head of a screw or bolt to sit flush with or below the surface of the material.

Plug Weld

A weld made in a circular hole in one member of a joint fusing it to the surface of another member.

Weld Symbol

A standardized symbol on technical drawings specifying the type, location, and details of welds required for joining pieces of metal.