Question

How do you find the asymptotes for `f(x)= (x)/(4x^2+7x+-2)`?

Answer 1

`x_0=(-7-sqrt(17))/2`
OR
`x_0=(-7+sqrt(17))/2`
OR
`x_0=(-7-9)/2=-8`
OR
`x_0=(-7+9)/2=1`

Explanation:

Find, when there is `0` in denominator.
`b^2-4ac`
`49-32` OR `49+32`
`17` OR `81`
`x_0=(-7-sqrt(17))/2`
OR
`x_0=(-7+sqrt(17))/2`
OR
`x_0=(-7-9)/2=-8`
OR
`x_0=(-7+9)/2=1`