The surface area of a sphere is s(x) = 4πx2, where x is the length of the radius of the sphere. restrict the domain to create a one-to-one function. find and describe the inverse function.
a. sx^{-1} (x)=\frac{1}{2\sqrt{\pi } } \sqrt{x}
the input of s^{-1} is the length of the radius; the output is the surface area of a sphere
b. s^{-1} (x)=2\sqrt{\pi } \sqrt{x}
the input of s^{-1} is the length of the radius; the output is the surface area of a sphere
c. s^{-1} (x)=2\sqrt{\pi } \sqrt{x}
the input of s^{-1} is the surface area of a sphere; the output is the length of the radius
d. [sx^{-1} (x)=\frac{1}{2\sqrt{\pi } } \sqrt{x}
the input of s^{-1} is the surface area of a sphere; the output is the length of the radius