Find the Inverse of the One-To-One Function $f ( x ) = x ^ { 3 } + 8$

question 138

Multiple Choice

Find the inverse of the one-to-one function.
- $f ( x ) = x ^ { 3 } + 8$

• A) \(f ^ { - 1 } ( x ) = - x ^ { 3 } - 8\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 8 }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 8 }\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } - 8\)

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Definitions:

Expected Frequencies

The predicted counts of observations in each category of a statistical distribution based on a theoretical model.

Two-Tailed Test

A Two-Tailed Test is a statistical test in which the critical area of a distribution is two-sided and tests whether a sample is either greater than or less than a certain range of values.

Expected Frequencies

The counts that one would expect in a statistical distribution, based on a specific hypothesis or model.

Chi-Squared Test Statistic

A statistical measure used to determine the goodness of fit between observed values and values expected theoretically.