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

Answer 1

i think x=-1 and x=2

Answer 2

does anyone know if i am right

Answer 3

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

Answer 4

is this your function?

Answer 5

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 \[x^2+3x-4\]

Answer 6

\[(x+1)(x-4) = 0\] solve for x

x+1 = 0 and x-4 = 0
only x = -1 is correct
so try solving
x-4=0

Answer 7

4

Answer 8

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