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

question 135

Multiple Choice

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

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

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Definitions:

Perfect Competition

Perfect competition describes a market structure where competition is at its greatest possible level, with numerous firms, no barriers to entry, and price taking behavior.

MR < MC

A scenario where marginal revenue is less than marginal cost, suggesting it is not profitable to produce additional units.

Marginal Cost

A measurement of the cost incurred by producing one additional unit of a product or service.

Average Variable Cost

The per-unit cost that varies, calculated through the division of total variable costs by the quantity of products made.