$\text { Find } f ^ { - 1 } ( x ) \text { if } f ( x ) = \sqrt { 13 - x ^ { 2 } } , 0 \leq x \leq \sqrt { 13 }$

question 91

Multiple Choice

$\text { Find } f ^ { - 1 } ( x ) \text { if } f ( x ) = \sqrt { 13 - x ^ { 2 } } , 0 \leq x \leq \sqrt { 13 }$

• A) \(f ^ { - 1 } ( x ) = x + \sqrt { 13 } , 0 \leq x \leq \sqrt { 13 }\)
• B) \(f ^ { - 1 } ( x ) = \left( 13 - x ^ { 2 } \right) ^ { 2 } , 0 \leq x \leq \sqrt { 13 }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt { 13 - x ^ { 2 } } , 0 \leq x \leq \sqrt { 13 }\)
• D) \(f ^ { - 1 } ( x ) = \sqrt { x ^ { 2 } - 13 } , 0 \leq x \leq \sqrt { 13 }\)
• E) \(f ^ { - 1 } ( x ) = \frac { 1 } { \sqrt { 13 - x ^ { 2 } } } , 0 \leq x \leq \sqrt { 13 }\)

---

Definitions:

Bordetella Pertussis

A bacterium that causes pertussis, also known as whooping cough, a highly contagious respiratory disease.

Pneumonia

A disease causing inflammation in the air sacs of either one or both lungs, potentially leading to accumulation of fluid or pus, resulting in symptoms such as coughing, fever, and challenges in breathing.

Mitral Valve Failure

A condition where the mitral valve in the heart doesn't close properly, leading to blood leakage backwards into the left atrium.

Phobic Anxiety Disorder

A type of anxiety disorder characterized by an excessive and irrational fear of an object, situation, or activity.