Explanation Given Information: The provided function is: f ( x ) = − x 2 + 3 Formula used: Step1: Interchange x and y . Step2: Solve for y Step3: Replace y with f − 1 ( x ) . Calculation: Consider the provided function: f ( x ) = − x 2 + 3 Substitute x = − 2 into the provided function f ( x ) = − x 2 + 3 , f ( − 2 ) = − ( − 2 ) 2 + 3 = − 4 + 3 = − 1 Substitute x = − 1 into the provided function f ( x ) = − x 2 + 3 , f ( − 2 ) = − ( − 1 ) 2 + 3 = − 1 + 3 = 2 Substitute x = 0 into the provided function f ( x ) = − x 2 + 3 , f ( − 2 ) = − ( 0 ) 2 + 3

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 12, Problem 5RE

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To calculate: The inverse of the provided function f(x)=−x2+3.

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Chapter 12, Problem 4RE

Chapter 12, Problem 6RE

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Chapter 12 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Prob. 6E Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E Ch. 12.1 - Prob. 9E Ch. 12.1 - If the function is one-to-one, find its inverse....

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The inverse of the provided function f ( x ) = − x 2 + 3 .

Solution Summary: The author explains that the inverse function of the provided function cannot be obtained.

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To calculate: The inverse of the provided function f(x)=−x2+3.

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Chapter 12 Solutions