$\text { Find } f ^ { - 1 } ( x ) \text { if } f ( x ) = x ^ { 3 } - 4$

question 114

Multiple Choice

$\text { Find } f ^ { - 1 } ( x ) \text { if } f ( x ) = x ^ { 3 } - 4$

• A)\(f ^ { - 1 } ( x ) = x ^ { \frac { 1 } { 3 } } + \frac { 1 } { 4 }\)
• B)\(f ^ { - 1 } ( x ) = \frac { 1 } { 3 } ( x + 4 ) ^ { - \frac { 2 } { 3 } }\)
• C)\(f ^ { - 1 } ( x ) = x ^ { \frac { 1 } { 3 } } + 4 ^ { \frac { 1 } { 3 } }\)
• D) \(f ^ { - 1 } ( x ) = ( x + 4 ) ^ { \frac { 1 } { 3 } }\)
• E) \(f ^ { - 1 } ( x ) = \frac { 1 } { x ^ { 3 } - 4 }\)

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Definitions:

Induced Fit

Conformational change in the active site of an enzyme that occurs when it binds to its substrate.

Enzyme's Shape

Refers to the three-dimensional structure of an enzyme, which is crucial for its ability to catalyze specific biochemical reactions.

Binding

The process of chemically linking two or more molecules together, often referring to the interaction between a protein and a ligand.

Substrate

The underlying substance or layer on which an organism lives, grows, or is attached, or a material upon which an enzyme acts.