College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 72

Answer

$\frac{2x+3}{x+2}$

Work Step by Step

We multiply the right fraction by $(1+x)$ to simplify. Then we combine both fractions by forming a common denominator: $1+\displaystyle \frac{1}{1+\frac{1}{1+x}}=1+\frac{1+x}{(1+x)+1}=1+\frac{x+1}{x+2}=$ $\displaystyle \frac{x+2+x+1}{x+2}=\frac{2x+3}{x+2}$
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