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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Definitions:

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Proteins that provide support and shape to cells and tissues, contributing to the structural integrity of organisms, like collagen and keratin.

Codons

Triplets of nucleotides in mRNA that specify which amino acid will be added next during protein synthesis.

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Organic compounds that serve as the building blocks of proteins, each containing an amino group, a carboxylic group, and a unique side chain.

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