Find the Inverse Function of F Informally $f ^ { - 1 } ( x ) = 4 \sqrt { x }$

question 412

Multiple Choice

Find the inverse function of f informally.
F(x) = x⁴

• A) \(f ^ { - 1 } ( x ) = 4 \sqrt { x }\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 4 ] { x }\)
• C) \(f ^ { - 1 } ( x ) = \frac { 1 } { \sqrt [ 4 ] { x } }\)
• D) \(f ^ { - 1 } ( x ) = ( \sqrt [ 4 ] { x } ) ^ { 4 }\)
• E) \(f ^ { - 1 } ( x ) = - \sqrt [ 4 ] { x }\)

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Definitions:

Production Facility

A location, such as a factory or workshop, where goods are manufactured or assembled.

Unit Product Costs

The total cost (fixed and variable) divided by the number of units produced, representing the cost per each unit manufactured.

Grinding Machine Time

The amount of time a grinding machine is used in the manufacturing process, often a basis for allocating production costs.

Intermediate Calculations

The steps or computations performed as part of a larger problem-solving process, often leading towards final results or conclusions.