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GuDViN [60]
3 years ago
10

F(x) = x(2x/2)/x(x+5)(x+6)^2 Find the vertical asymptotes?

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

  x = -5, x = -6

Step-by-step 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)=\frac{x\frac{2x}{2}}{x(x+5)(x+6)}=\frac{x}{(x+5)(x+6)}

The denominator will be zero when ...

  x + 5 = 0 . . . . at x = -5

  x + 6 = 0 . . . . at x = -6

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