Answer:
The graph of the given function f(x) is attached below :
[tex]f(x)=\frac{5\cdot x -2}{x+2}[/tex]
To find vertical asymptotes :
Since the given function is rational so the vertical asymptotes of the function will be zeroes of the denominator
Vertical Asymptotes : x + 2 = 0
⇒ x = -2
To find horizontal asymptotes :
As the degree of numerator is s equal to the degree of denominator. Therefore,
[tex]\text{Horizontal asymptote, y = }\frac{\text{Numerator's leading coefficient}}{\text{Denominator's leading coeeficient}}\\\\\bf\implies y = \frac{5}{1}=5[/tex]
