Find $a$ , Such That the Function $f ( x ) = 4 x + \sqrt { a - x ^ { 2 } }$

question 8

Multiple Choice

Find $a$ , such that the function $f ( x ) = 4 x + \sqrt { a - x ^ { 2 } }$ has the domain $( - 4,4 )$ .

• A) \(a = - 16\)
• B) \(a = \sqrt { 4 }\)
• C) \(a = - \sqrt { 4 }\)
• D) \(a = 16\)
• E) \(a = 4\)

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Definitions:

Times Interest Earned Ratio

A financial metric that measures a company's ability to cover its interest expenses with its earnings before interest and taxes.

Net Income

The total profit of a company after all expenses, including taxes and operating costs, have been deducted from total revenue.

Equity Multiplier

A financial leverage ratio that measures the portion of a company’s assets that is financed by stockholders' equity.

Total Liabilities

The combined amount of a company's short-term and long-term debts, representing claims against the company's assets by outsiders.