f(x)= (-1)/(3(x+1))+1 Domain and range

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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f(x)= (-1)/(3(x+1))+1

Domain and range?

Transformations?

Name of Graph?

Expert Solution
Step 1

Given the function (-1)/(3(x+1))+1

We need to determine the domain and range of the function.

Domain is the set of input values for which the function is real and defined.

Since it is rational function the denominator should not be 0.

3x+4=03x=-4x=-43excluding x=-43 , all the values of x are supported.So x<-43 or x>-43So the domain of the function is x(-,-43)(-43,)

 

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