College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 297: 31

Answer

f+g=3x+2 D=(-$\infty$,$\infty$) f-g=x+4 D=(-$\infty$,$\infty$) fg=2x$^2$+x-3 D=(-$\infty$.$\infty$) $\frac{f}{g}$=$\frac{2x+3}{x-1}$ D=(-$\infty$,1) U (1,$\infty$)

Work Step by Step

f+g=f(x)+g(x) f+g=2x+3+x-1 f+g=3x+2 D=(-$\infty$,$\infty$) f-g=f(x)-g(x) f-g=2x+3-(x-1) f-g=x+4 D=(-$\infty$,$\infty$) fg=f(x)$\times$g(x) fg=(2x+3)(x-1) fg=2x$^2$+x-3 D=(-$\infty$.$\infty$) $\frac{f}{g}$=$\frac{2x+3}{x-1}$ D=(-$\infty$,1) U (1,$\infty$)
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