MEDAL AND FAN
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

Question

MEDAL AND FAN
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

anonymous · Answer

i think x=-1 and x=2

anonymous · Answer

does anyone know if i am right

usukidoll · Answer

$$f(x) = \frac{4x+8}{x^2+3x-4}$$

usukidoll · Answer

is this your function?

usukidoll · Answer

I'm gonna assume it is. Anyway , 
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. 

so we have to factor $$x^2+3x-4$$

usukidoll · Answer

$$(x+1)(x-4) = 0$$ solve for x 

x+1 = 0 and x-4 = 0
only x = -1 is correct
so try solving 
x-4=0

anonymous · Answer

4

usukidoll · Answer

yup x = 4, and x = -1 are our vertical asymptotes good job :)