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Please help!

f(x)= 3x/ x^2-16


a) x= -16

b) x= -4

c) x= 0

d) x= 4

e) x= 16

Please help! f(x)= 3x/ x^2-16 a) x= -16 b) x= -4 c) x= 0 d) x= 4 e) x= 16-example-1

1 Answer

6 votes

Answer:

x = 1 and x = 2

x = 4 and x = -4

Explanation:

Vertical asymptotes appear where the function does not have a value. This is most commonly when the denominator of a rational function is 0. Find the asymptotes by factoring the denominator and setting it equal to 0. Then solve for x.

First equation

x² - 3x + 2 factors into (x-1)(x-2)

When x-1 = 0, x = 1. When x-2=0, x = 2. The V.A. are at x = 1 and x = 2.

Second equation

x² - 16 factors into (x+4)(x-4)

When x+4= 0, x = -4. When x-4 = 0, then x = 4. The V.A. are at x = -4 and x = 4.

User Razgriz
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