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Finding the Inverse of a Rational Function

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The function C= 20+0.4n 100+n C = \frac{20 + 0.4 n}{100 + n} represents the concentration C C of an acid solution after n n mL of 40% solution has been added to 100 mL of a 20% solution. First, find the inverse of the function; that is, find an expression for n n in terms of C. C . Then use your result to determine how much of the 40% solution should be added so that the final mixture is a 35% solution.

OpenStax Algebra and Trigonometry 2e, 5.7 Inverses and Radical Functions, exercise 25

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.