Question

What is the equation of the vertical asymptote? (x^2-7x)/(x+4)

Answer 1

equation of vertical asymptote is x = - 4

Explanation:

given

`(x^2-7x)/(x+4)`

the denominator of the rational function cannot be zero as this would make the rational function 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 ( subtract 4 from both sides )

x = - 4 ← excluded value

and numerator

x² - 7x = (- 4)² - 7(- 4) = 16 + 28 = 44 ≠ 0

then equation of vertical asymptote is x = - 4