College Algebra (6th Edition)

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

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2: 54

Answer

Vertical asymptote:$\quad x=-2$ The domain of g:$\quad (-2,+\infty),$ The range of g:$\quad (-\infty,+\infty),$ .
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Work Step by Step

(See table 4.5, Transformations involving Logarithmic functions) $f(x)=\log_{2}x$ $g(x)=\log_{2}(x+2)=f(x+2)$ so the graph of g(x) (blue) is obtained from the graph of f(x) (red) by shifting it 2 units to the left. Vertical asymptote:$\quad x=-2$ The domain of g:$\quad (-2,+\infty),$ The range of g:$\quad (-\infty,+\infty),$
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