Determine Whether the Given Function Is One-To-One $f ( x ) = x ^ { 2 } - 1 , x \geq 0$

question 13

Multiple Choice

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
- $f ( x ) = x ^ { 2 } - 1 , x \geq 0$

• A) \(f ^ { - 1 } ( x ) = \sqrt { x } + 1 , x \geq 0\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } + 1 } , \mathrm { x } \geq - 1\)
• C) \(f ^ { - 1 } ( x ) = \sqrt { x - 1 } , x \geq 1\)
• D)not a one-to-one function

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