Find the Inverse Function Of $g ( x ) = x ^ { 7 } - 4$

question 65

Multiple Choice

Find the inverse function of
$g ( x ) = x ^ { 7 } - 4$

• A) \(g ^ { - 1 } ( x ) = \sqrt [ 7 ] { x - 4 }\)
• B) \(g ^ { - 1 } ( x ) = ( x + 4 ) ^ { 7 }\)
• C) \(g ^ { - 1 } ( x ) = x ^ { 7 } + 4\)
• D) \(g ^ { - 1 } ( x ) = \sqrt [ 7 ] { x + 4 }\)
• E) \(g ^ { - 1 } ( x ) = ( x - 4 ) ^ { 2 }\)

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Definitions:

Major Organic

Pertains to the primary or most significant organic compound or entity in a particular context or reaction.

Major Organic

Typically refers to the major organic product or compound that is predominantly formed in a chemical reaction.

Stereochemical

Pertaining to the spatial arrangement of atoms in molecules and the effect of this arrangement on the chemical and physical properties of those molecules.

Regio-

A prefix in chemistry referring to the region or position in a molecule where a reaction takes place, often used in terms like "regioselective" or "regiospecific".