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

You might also like to view...

Find the component form of the specified vector.The vector from the point A(9, 7) to the origin

A.
B.
C.
D.

Mathematics

Provide an appropriate response.Which of the following is not a prime number?

A. 41 B. 9 C. 29 D. 19

Mathematics

Use rational exponents to simplify. Write the answer in radical notation if appropriate.

A.
B.
C.
D.

Mathematics

Use the distributive property to simplify.-5(2m - 8)

A. -10m - 40 B. -10m + 40 C. -40m + 10  D. 40m - 10

Mathematics