Find the Domain and Range for the Indicated Function $f ( x ) = 4 x ^ { 2 } + 6 x + 8$

question 35

Multiple Choice

Find the domain and range for the indicated function.
-If $f ( x ) = 4 x ^ { 2 } + 6 x + 8$ and $g ( x ) = 6 x - 7$ , find $g ( f ( x ) )$

• A) \(4 x ^ { 2 } + 36 x + 41\)
• B) \(24 x ^ { 2 } + 36 x + 55\)
• C) \(4 x ^ { 2 } + 6 x + 1\)
• D) \(24 x ^ { 2 } + 36 x + 41\)

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Definitions:

Contingency Table

A table used in statistics to display the frequency distribution of variables, helping in analyzing the relationship between different categorical variables.

Frequency of Occurrence

The rate at which a particular event or outcome happens within a specific interval of time or within a given data set.

Chi-square Test for Independence

A statistical method employed to assess if a significant relationship exists between two variables of categorical type.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, typically defined as the sample size minus the number of parameters estimated.