Question

Find the vertical asymptote. y = x - 1 / x + 4

Answer 1

x = - 4

Explanation:

Given

y =
`(x-1)/(x+4)`

The denominator of y cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ⇒ x = - 4

Thus the vertical asymptote is x = - 4