Finding the inverse of a cubic polynomial is equivalent to solving a cubic equation. A special case
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Finding the inverse of a cubic polynomial is equivalent to solving a cubic equation. A special case that is simpler than the general case is the cubic y = f(x) = x3 + ax. Find the inverse of the following cubics using the substitution (known as Vieta’s substitution) x = z - a/(3z). Be sure to determine where the function is one-to-one.
f(x) = x3 + 2x
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Let y x 3 2x This function is onetoone so it has an inverse Making the suggested substit...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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