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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