Step 1:
\The function is
.
The domain of the function is set of all values at which the function is continuous.
\The denominator should not be equal to 0.
\
Thus, the function is continuous for all real numbers except 2.
\Domain of the function
is 
Step 2:
\Graph of the function
:
Rewrite the above equation:
\
Factorize the numerator by using
.

Cancel the common terms.
\
Select values from the domain and make a table.
\| t | \![]() | \
| \
| \
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| 0 | \![]() | \
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| 1 | \![]() | \
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Graph:
\1) Draw the coordinate plane.
\2) Plot the points of two lines.
\3) Connect the plotted points.
\
\
Solution:
\Domain of the function
is
.