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.
?
?
?
What will be an ideal response?
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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