Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2: 66

Vertical asymptote:$\quad x=-1$ Domain :$\quad (-1,+\infty)$ Range :$\quad (-\infty,+\infty)$ .

Work Step by Step

(See table 4.5, Transformations involving Logarithmic Functions) $f(x)=\ln x$ $g(x)=\ln(x+1)=f(x+1)$ so the graph of $g(x)$ (blue) is obtained from the graph of f(x) (red) by shifting it to the left by $1$ unit. Vertical asymptote:$\quad x=-1$ Domain :$\quad (-1,+\infty)$ Range :$\quad (-\infty,+\infty)$

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