Find the Domain Of $x$ In the Expression $\sqrt { 25 - 16 x ^ { 2 } }$

question 47

Multiple Choice

Find the domain of $x$ in the expression. Use a graphing utility to verify your result.
$\sqrt { 25 - 16 x ^ { 2 } }$

• A) \(\left[ - \frac { 5 } { 4 } , - \frac { 5 } { 4 } \right]\)
• B) \(\left[ - \frac { 4 } { 5 } , - \frac { 4 } { 5 } \right]\)
• C) \(\left[ - \frac { 4 } { 5 } , \frac { 4 } { 5 } \right]\)
• D) \(\left[ \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]\)
• E) \(\left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]\)

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Definitions:

Gross Profit

The financial performance metric that subtracts the cost of goods sold from total sales revenue.

Net Sales

The amount of revenue generated by a company after deducting returns, allowances for damaged or missing goods, and any discounts allowed.

Cost of Goods Sold

The specific expenses directly tied to the manufacturing of products sold by a business, such as costs for materials and labor.

Percentage

A fraction or ratio expressed as a part of one hundred, used to describe proportions or compare values.