Answer:
See attachment
Step-by-step explanation:
The given function is [tex]f(x)=\frac{5x-2}{x+2}[/tex].
This rational function has a vertical asymptote at where the denominator is zero.
The denominator [tex]x+2=0[/tex] when [tex]x=-2[/tex]
There is vertical asymptote at [tex]x=-2[/tex]
The horizontal asymptote for this rational function is given by the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator.
[tex]y=\frac{5}{1}[/tex]
The horizontal asymptote is [tex]y=5[/tex]
The graph of this rational function is shown in the attachment
