Determine Whether the Function Has an Inverse Function $f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0$

question 370

Multiple Choice

Determine whether the function has an inverse function.If it does, find the inverse function. f(x) = x² + 5

• A) \(f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0\)
• B) \(f ^ { - 1 } ( x ) = \sqrt { x - 5 }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt { x } - 5\)
• D) \(f ^ { - 1 } ( x ) = \sqrt { x + 5 } , x \geq - 5\)
• E)No inverse function exists.

Understand the impact of price changes on consumer demand based on income and substitution effects.

Analyze how changes in prices and income affect the demand for goods, taking into account the roles of perfect substitutes and complements.

Identify and distinguish between the Slutsky and Hicks versions of income and substitution effects.

Understand utility functions and how consumers maximize utility subject to budget constraints.

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