(a)
\The function is .
Domain of the function is all possible values of x.
\Since is a rational function, the denominator should not be the zero.
Thus, the domain of the function is all possible values of x except 0.
\(b)
\The function is .
Rewrite the function as .
Find the x - intercept by substituting y = 0 in .
There is no real values exist.
\There is no x - intercept.
\Find the y - intercept by substituting x = 0 in .
No y - intercept.
\(c)
\The function is .
Since the degree of the numerator is greater than the degree of denominator, the line is a slant asymptote.
Find the vertical asymptotes by equating the denominator to zero.
\.
Thus, the line is a vertical asymptotes of g(x) and the line
is a slant asymptotes of g(x).
(d)
\The function is .
Draw a coordinate plane.
\Graph the function .
Graph :
\(a)
\The domain of the function is all possible values of x except 0.
\(b)
\No intercepts
\(c)
\Vertical asymptote : .
Slant asymptote : .
(d)
\Graph of the function is :