Explanation Given information: The provided rational expression is x − 7 x 2 − 49 . Formula used: Difference of the square property: a 2 − b 2 = ( a + b ) ( a − b ) Principle of zero product: If ( x − a ) ( x + b ) = 0 , then either x = a or x = − b Calculation: Consider the rational expression, x − 7 x 2 − 49 . A rational expression f ( x ) g ( x ) is undefined if for an input argument the expression reveals the forms f ( x ) 0 or 0 0 . To find the values equate the denominator to zero. Set the denominator equal to zero and use the identity property to factor the denominator

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 12, Problem 3T

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To calculate: The values for which the rational expression x−7x2−49 is undefined.

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Chapter 12 Solutions

Developmental Mathematics (9th Edition)

Ch. 12.1 - Objective 11.3a: Factor trinomials of the type...Ch. 12.1 - Prob. 2SR Ch. 12.1 - Prob. 1DE Ch. 12.1 - Prob. 2DE Ch. 12.1 - Prob. 3DE Ch. 12.1 - Prob. 4DE Ch. 12.1 - Prob. 5DE Ch. 12.1 - Prob. 6DE Ch. 12.1 - Prob. 7DE Ch. 12.1 - Prob. 8DE

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The values for which the rational expression x − 7 x 2 − 49 is undefined.

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