The Function F Is One-To-One $$f ( x ) = x ^ { 2 } - 1 , x \geq 0$$

question 156

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = x ^ { 2 } - 1 , x \geq 0$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } } + 1 , \mathrm { x } < 0\)
• B) \(f ^ { - 1 } ( x ) = \sqrt { x + 1 } , x \geq - 1\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } - 1 } , \mathrm { x } \geq 1\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } } + 1 , \mathrm { x } \geq 0\)

---

Definitions:

Supine

A position where an individual lies flat on their back, often used in medical examinations or as a recovery posture.

Skin Integrity

The condition of unbroken and healthy skin, an important aspect of preventing infection and disease.

Alkaline-Based Soap

Soap with a pH level higher than 7, typically considered harsher on the skin due to its potential to disrupt the skin's natural acid mantle.

Neutral pH

A value of 7 on the pH scale, indicating a solution that is neither acidic nor alkaline.