Find the Inverse of the Function $$f ( x ) = \sqrt { x + 3 } , x \geq - 3$$

question 355

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = \sqrt { x + 3 } , x \geq - 3$$

• A) \(f ^ { - 1 } ( x ) = - x ^ { 2 } + 3 , x \geq 0\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 9 , \mathrm { x } \geq 0\)
• C) \(f ^ { - 1 } ( x ) = x ^ { 2 } - 3 , x \geq 0\)
• D) Not a one-to-one function

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Definitions:

Experimental Hypothesis

A statement predicting the relationship between variables in an experimental design, specifically regarding how an independent variable will affect a dependent variable.

Operational Definitions

The process by which researchers specifically define variables in practical, measurable terms to clarify how those variables will be observed and measured in a study.

Replication

Replication is the process of repeating a research study or experiment under the same or similar conditions to verify the results obtained in the original study.

Positive Correlations

A relationship between two variables where changes in one variable are directly related to changes in the other variable in the same direction.