Find the Domain and Range of the Inverse of the Given

question 250

Multiple Choice

Find the domain and range of the inverse of the given function.
- $$f ( x ) = ( 8 x - 1 ) ^ { 3 }$$

• A) Domain: \([ 0 , \infty )\); range: all real numbers
• B) Domain and range: all real numbers
• C) Domain: \([ 8 , \infty )\); range: \([ 0 , \infty )\)
• D) Domain: \([ 1 , \infty )\); range: \([ 0 , \infty )\)

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Definitions:

Genetic Mutation

A permanent alteration in the DNA sequence that makes up a gene, which can lead to differences in physical appearance, disease, or no effect at all.

Amino Acids

Organic compounds that serve as the building blocks of proteins, characterized by an amino group, a carboxyl group, and a unique side chain.

Hydrogen Ions

Positively charged ions (H+) that contribute to acidity when in solution.

Hydroxide Ions

Negatively charged ions (OH-) that consist of oxygen and hydrogen, crucial for various chemical reactions, including those determining acidity or basicity (pH).