Single Variable Calculus

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Moderate

Domain of an Inverse Function

SVCALC-YJXWZB

For the function

$$f(x)=2 - { x }^{ 2 }$$ that has a limited domain of $[0,\infty )$

what is the domain of its inverse function ${ f }^{ -1 }(x)?$

A

$\left( -\infty ,2\right]$

B

$\left( -\infty ,\infty \right)$

C

$\left(2,\infty \right]$

D

$\left[ 2,\infty \right]$

E

$\left[0,\infty \right]$