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

question 30

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

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