The Function F Is One-To-One $$f ( x ) = \sqrt { x - 1 }$$

question 100

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = \sqrt { x - 1 }$$

• A) \(f ^ { - 1 } ( x ) = x ^ { 2 } - 1 , x \geq 0\)
• B) \(f ^ { - 1 } ( x ) = \sqrt { x + 1 }\)
• C) \(f ^ { - 1 } ( x ) = x ^ { 2 } + 1 , x \geq 0\)
• D) \(f ^ { - 1 } ( x ) = ( x - 1 ) ^ { 2 }\)

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Definitions:

Significant Correlations

Relationships between variables that are strong enough to unlikely be due to chance, as determined by statistical tests.

Test Statistic

A value calculated from sample data that is used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Correlation Coefficient

A measure indicating the extent to which two variables change together, ranging from -1 to 1.

One-tailed Test

A hypothesis test in which the values for which we can reject the null hypothesis are located entirely in one tail of the probability distribution.