Question Find all vertical asymptotes of the following function. f(x)=(x-4)/(3x-3) Answer Attempt 1 out of 3

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Question Find all vertical asymptotes of the following function.  f(x)=(x-4)/(3x-3) Answer Attempt 1 out of 3

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Identify potential vertical asymptotes: Identify the potential vertical asymptotes. Vertical asymptotes occur where the denominator of a rational function is equal to zero, as long as the numerator is not also zero at those points. For the function f(x) = (x-4)/(3x-3), we need to find the values of x that make the denominator 3x-3 equal to zero.Solve for x-values: Solve the equation 3x-3 = 0 to find the x-values. To find the x-values that make the denominator zero, we solve the equation: 3x - 3 = 0 Adding 3 to both sides gives: 3x = 3 Dividing both sides by 3 gives: x = 1Check numerator at x=1: Check if the numerator is also zero at x = 1. We need to ensure that the numerator, x-4, is not also zero when x = 1. Plugging x = 1 into the numerator gives: 1 - 4 = -3 Since -3 is not equal to zero, the numerator is not zero when x = 1.Conclude vertical asymptote location: Conclude the location of the vertical asymptote. Since the denominator is zero and the numerator is not zero at x = 1, there is a vertical asymptote at x = 1.

Question $\newline$ Find all vertical asymptotes of the following function. $\newline$ $f(x)=\frac{x-4}{3 x-3}$ $\newline$ Answer Attempt $1$ out of $3$

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Question $\newline$ Find all vertical asymptotes of the following function. $\newline$ $f(x)=\frac{x-4}{3 x-3}$ $\newline$ Answer Attempt $1$ out of $3$