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

question 10

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) \(a = 4\)

---

Definitions:

Minimum Required Rate Of Return

The lowest return on investment that an investor is willing to accept for a particular investment, often considering the risk involved.

Net Operating Income

The total profit of a business after operating expenses have been deducted, but before interest and taxes.

Gross Margin

The difference between revenue and cost of goods sold (COGS), which reflects the profitability of a company's core activities excluding overhead costs.

Net Operating Income

The profit a company makes from its regular business operations, excluding deductions of interest and taxes.