Given:

a.   Determine the domains of f(x) and g(x).b.   Simplify f(x) and find any vertical asymptotes.c.   Complete the table.

x

-1



0



1

2

3

f(x)

       g(x)

       d.   Explain how the two functions differ.

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?

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What will be an ideal response?


a.   Domain of f(x): all real numbers except 0 and 

Domain of g(x): all real numbers except 0

b.   ; vertical asymptote x = 0
c.

x

-1

0

1

2

3

f(x)

-1

undefined

undefined

1

?

?

g(x)

-1

undefined

1


d.   The graph of f(x) = g(x) except when x = . Because the factor 11x + 2 canceled, there is a hole in the graph of f(x) when x = .

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