Find the Inverse Of $f$ Then Sketch the Graphs Of Then

Multiple Choice

Find the inverse of $f$ . Then sketch the graphs of $f$ and $f ^ { - 1 }$ on the same set of axes.
$f ( x ) = \sqrt { 16 - x ^ { 2 } } , x \geq 0$

A)
$f^{-1}(x) =\sqrt{4+x^{2}}, x \geq 0$


B)
$f ^ { - 1 } ( x ) = - \sqrt { 16 - x ^ { 2 } } , x \geq 0$


C) $f ^ { - 1 } ( x ) = \sqrt { 16 - x ^ { 2 } } , x \geq 0$


D) $f ^ { - 1 } ( x ) = - \sqrt { 4 + x ^ { 2 } } , x \geq 0$