Find the Inverse Function Of $f$ $f ( x ) = x ^ { 5 } - 1$

question 33

Multiple Choice

Find the inverse function of $f$ .
$f ( x ) = x ^ { 5 } - 1$

• A) \(f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x } - 1\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } - 1\)
• C) \(f ^ { - 1 } ( x ) = - \sqrt [ 5 ] { x - 1 }\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x + 1 }\)
• E) \(f ^ { - 1 } ( x ) = \sqrt [ 5 ] { x } + 1\)

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Definitions:

Experimenter Bias

A form of research bias where the experimenter's expectations, beliefs, or preferences unintentionally influence the participants' behavior or the interpretation of data.

Independent Variable

In an experimental setting, the variable that is manipulated or changed to observe its effect on the dependent variable.

Dependent Variable

In an experimental setup, the variable being tested and measured, which is expected to change as a result of manipulations to the independent variable.

Control Group

The group in an experiment or study that does not receive the treatment, used as a benchmark to measure the effects of the treatment.