The Surface Area of a Sphere Is $f ( x ) = 4 \pi x ^ { 2 }$

question 266

Multiple Choice

The surface area of a sphere is $f ( x ) = 4 \pi x ^ { 2 }$ square inches, where x is the radius of the sphere in inches. Find the inverse of this function.

• A) \(f ^ { - 1 } ( x ) = \frac { \sqrt { x } } { 2 \pi }\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 2 } \sqrt { \frac { \mathrm { x } } { \pi } }\)
• C) \(f ^ { - 1 } ( x ) = 2 \sqrt { \frac { \pi } { x } }\)
• D) \(f ^ { - 1 } ( x ) = 2 \sqrt { \pi x }\)

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Definitions:

Bone Markings

Distinctive structures on bones such as ridges, spines, fossae, and notches, which serve as attachment points for muscles and ligaments, or passages for nerves and blood vessels.

Articulations

Joints or connections between bones that allow for varying degrees of movement, stability, and support in the skeletal system.

Axial Skeleton

Part of the skeleton that includes the bones of the head and trunk of a vertebrate, such as the skull, vertebral column, ribs, and sternum.

Appendicular Skeleton

The portion of the skeleton that includes the bones of the limbs and girdles, facilitating movement.