Find a Function F(x) with the Following Property: F'(x) = $\frac { 1 } { 4 - x }$

question 102

Multiple Choice

Find a function f(x) with the following property: f'(x) = - $\frac { 1 } { 4 - x }$ , f(2) = 0.

• A) f(x) = \(- ( 4 - x ) ^ { - 2 }\) + \(\frac { 1 } { \sqrt { 2 } }\)
• B) f(x) = ln \(\frac { 1 } { 4 - x }\) + \(\frac { 1 } { 2 }\)
• C) f(x) = ln \(| 4 - x |\) - 2
• D) f(x) = -ln \(| 4 - x |\) + 2
• E) none of these

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Individuals or entities that own one or more shares of stock in a corporation, making them part owners of the company.

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A legal entity that is separate and distinct from its owners, providing them with limited liability and the ability to raise capital by selling shares.

Determinant

A mathematical concept used in linear algebra, often to determine the non-singular or singular status of a matrix.