College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 96

Answer

$B=-1$

Work Step by Step

We solve: $f(x)=\displaystyle \frac{2x-B}{3x+4}$ and $f(2)=\displaystyle \frac{1}{2}$ We solve for $B$: $f(2)=\frac{2*2-B}{3*2+4}$ $f(2)=\frac{4-B}{10}$ Since $f(2)=1/2$: $\frac{1}{2}=\frac{4-B}{10}$ $5=4-B$ $B=-1$
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