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) \(a = 4\)

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Definitions:

Subsidies

Subsidies are financial grants or support extended by governments to firms, individuals, or institutions to encourage the production or consumption of certain goods or services, or to support industries.

Domestic Firms

Refers to companies that operate within the country where they are based and conduct their business activities in the local market.

Subsidies

Financial contributions by a government or public body to support businesses, consumers, or economic sectors, reducing the price of goods and services or the cost of production.

Economic Integration

Occurs when two or more nations join to form a free-trade zone.