Question

F(x) = x(2x/2)/x(x+5)(x+6)^2

Find the vertical asymptotes?

Answer 1

x = -5, x = -6

Explanation:

After canceling common terms from numerator and denominator, there are two factors remaining in the denominator that can become zero. The vertical asymptotes are at those values of x.

`\displaystyle F(x)=(x(2x)/(2))/(x(x+5)(x+6))=(x)/((x+5)(x+6))`

The denominator will be zero when ...

x + 5 = 0 . . . . at x = -5

x + 6 = 0 . . . . at x = -6