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
0
1
2
3
4
5
6
f(x)
g(x)
d. Explain how the two functions differ.
What will be an ideal response?
a. Domain of f(x): all real numbers except 3 and 4
Domain of g(x): all real numbers except 4
b. 
; vertical asymptote x = 4
c.
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
f(x) |
|
|
| undefined | undefined | 7 |
|
g(x) |
|
|
| -7 | undefined | 7 |
|
d. The graph of f(x) = g(x) except when x = 3. Because the factor x - 3 canceled, there is a hole in the graph of f(x) when x = 3.
Mathematics
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