Answered

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Find the vertical asymptote.

[tex]\[ y=\frac{8x+8}{x-4} \][/tex]

[tex]\[ x=? \][/tex]

Sagot :

GinnyAnswer
To determine the vertical asymptote of the function [tex]\( y = \frac{8x + 8}{x - 4} \)[/tex], we need to consider where the function is undefined. A vertical asymptote occurs where the denominator of the function is equal to zero, as division by zero is undefined.

Here are the steps to find the vertical asymptote:

1. Identify the denominator of the function which is [tex]\( x - 4 \)[/tex].

2. Set the denominator equal to zero to find the value(s) of [tex]\( x \)[/tex] where the function is undefined:
[tex]\[ x - 4 = 0 \][/tex]

3. Solve for [tex]\( x \)[/tex]:
[tex]\[ x = 4 \][/tex]

Therefore, the vertical asymptote of the function [tex]\( y = \frac{8x + 8}{x - 4} \)[/tex] occurs at [tex]\( x = 4 \)[/tex].

So, the vertical asymptote is [tex]\( x = 4 \)[/tex].
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