Find the equations of vertical asymptotes of the graph of f

Find the equations of vertical asymptotes of the graph of f if any and the horizontal asympotetes if any

Justify your answers.

Solution

for horizontal asympotetes we have f(x)=cons =>2x+5=c ->horizontal asymptotes for vertical asymptotes we have f(x)-> infinity]=>x^(2)-5x+4=0 =>(x-4)(x-1)=0 =>x=1 and x=4