Question

What are the vertical asymptotes of the function f(x) = the quantity of 4 x plus 8, all over x squared plus 3 x minus 4?

Answer 1

`f(x)=(4x+8)/(x^2+3x-4)\\\\The\ domain:x^2+3x-4\\eq0\\\\x^2+4x-x-4\\eq0\\\\x(x+4)-1(x+4)\\eq0\\\\(x+4)(x-1)\\eq0\iff x\\eq-4\ \wedge\ x\\eq1`


`The\ vertical\ asymptotes\ of\ the\ function\ f:\ \boxed{x=-4\ and\ x=1}`