Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. 6- 4- g(x) = In (x + 1) 2- Graph g(x) = In (x+ 1). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. -10 -8 -6422 4 10 4- -6- Click to - enlarge graph What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x + 1)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = In (x + 1)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Begin by graphing f(x) = In x. Use transformations of this graph to graph the given
function. Graph and give the equation of the asymptote. Use the graphs to
determine the function's domain and range.
8-
6-
4-
g(x) = In (x + 1)
2-
Graph g(x) = In (x+ 1). Graph the asymptote of g(x) as a dashed line. Use the
graphing tool to graph the function.
-10 -8 -6 -4 -2
2
6 8 10
-4-
-6-
Click to
-8-
-enlarge
graph
What is the vertical asymptote of g(x)?
(Type an equation.)
What is the domain of g(x) = In (x + 1)?
(Simplify your answer. Type your answer in interval notation.)
What is the range of g(x) = In (x + 1)?
Transcribed Image Text:Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range. 8- 6- 4- g(x) = In (x + 1) 2- Graph g(x) = In (x+ 1). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. -10 -8 -6 -4 -2 2 6 8 10 -4- -6- Click to -8- -enlarge graph What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x + 1)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = In (x + 1)?
Expert Solution
Step 1

Given:

      gx= lnx+1

Step 2

Graph of gx= lnx+1 is 

                                    Algebra homework question answer, step 2, image 1

 

steps

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