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Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2

Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2-example-1

1 Answer

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Answer: (b) x = -2/3

Explanation:

The vertical asymptote is the restriction on x.

The denominator cannot be equal to zero so that it the restriction.

Set the denominator equal to zero and solve for x to find the asymptote.

3x + 2 = 0

3x = -2

x = -2/3

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