Find the Domain of X in the Expression $\sqrt { 9 - 4 x ^ { 2 } }$

question 196

Multiple Choice

Find the domain of x in the expression.
$\sqrt { 9 - 4 x ^ { 2 } }$

• A) \(\left[ \frac { 3 } { 2 } , \frac { 3 } { 2 } \right]\)
• B) \(\left[ - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right]\)
• C) \(\left[ - \frac { 3 } { 2 } , \frac { 3 } { 2 } \right]\).
• D) \(\left[ - \frac { 2 } { 3 } , \frac { 2 } { 3 } \right]\)
• E) \(\left[ - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right]\).

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Definitions:

Independent Means

Refers to the average values derived from two separate groups that are not related to each other, often used in statistical comparisons.

Sophomores

Second-year students in a four-year degree program at a high school or university.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis; it marks the threshold for significance.

Hypotheses

Proposed explanations or predictions that can be tested through research and experimentation.