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 .
Therefore the function is undefined at the real zero of the denominator .
The real zeros of is
.
Thus, the function is continuous for all real numbers except .
Therefore Domain, .
Check for vertical asymptotes :
\Determine whether is a point of infinite discontinuity.
Find the limit as approaches
from the left and the right.
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Because and
is a vertical asymptote of
.
Determine whether is a point of infinite discontinuity.
Find the limit as approaches
from the left and the right.
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Because and
is a vertical asymptote of
.
Check for horizantal asymptotes :
\Draw the table to determine the end behaviour of .
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From the table and
is a horizantal asymptote of
.
Domain .
Vertical asymptote : .
Horizantal asymptote: .