\"\"

\

(a)

\

The function are \"\" and \"\".

\

Find the domain of \"\".

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All possible values of x is the domain of the function.

\

Since the function is a rational function, the denominator should not be the zero.

\

\"\"

\

Thus, the domain of the function \"\" is all possible values of x except \"\" and 0.

\

Find the domain of \"\".

\

Since it is a linear function, the domain is all real values of x.

\

\"\"

\

(b)

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The function \"\".

\

Simplify the function.

\

\"\"

\

Since the function is a linear function, there is no vertical asymptote.

\

\"\"

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(c)

\

Completed table is :

\

 

\

 

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

x

\
\

\"\"

\
\"\"
\

\"\"

\
\

\"\"

\
        \"\"
\

\"\"

\
\

\"\"

\
        \"\"
\

\"\"

\
\

\"\"

\
       \"\"
\

0

\
\

\"\"

\
         0
      1 \

\"\"

\
         1
      2 \

\"\"

\
         2
      3 \

\"\"

\
         3
\

\"\"

\

(d)

\

Observe the above table of values :

\

The functional values of \"\" and \"\", \"\" and \"\".

\

Thus, the function differ at \"\", where f is undefined.\"\"

\

(a)

\

The domain of the function \"\" is all possible values of x except \"\" and 0.

\

The domain of \"\" is all real values of x.

\

(b)

\

None.

\

(c)

\

Completed table is :

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\

x

\
\

\"\"

\
\"\"
\

\"\"

\
\

\"\"

\
        \"\"
\

\"\"

\
\

\"\"

\
        \"\"
\

\"\"

\
\

\"\"

\
       \"\"
\

0

\
\

\"\"

\
         0
      1 \

\"\"

\
         1
      2 \

\"\"

\
         2
      3 \

\"\"

\
         3
\

(d) The functions f and g differ at \"\", where f is undefined.