Determine Whether (F ∘ G)(x) = X and Whether (G $$f ( x ) = \sqrt [ 5 ] { x - 7 } , g ( x ) = x ^ { 5 } + 7$$

question 387

Multiple Choice

Determine whether (f ∘ g) (x) = x and whether (g ∘ f) (x) = x.
- $$f ( x ) = \sqrt [ 5 ] { x - 7 } , g ( x ) = x ^ { 5 } + 7$$

• A) Yes, no
• B) Yes, yes
• C) No, no
• D) No, yes

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Definitions:

Significance Level

The threshold below which a test statistic's p-value must fall for an effect to be considered statistically significant.

Sampling Distribution

A statistical distribution of all possible sample means or sample proportions calculated from all possible samples of a specific size from a population.

Population Variance

A measure of the spread of a population’s data points, indicating the average of the squared differences from the mean.

Chi-square Distribution

A statistical distribution used in hypothesis testing that is applicable when testing hypotheses about categorical variables.