CavinK312954 CavinK312954

04-11-2022
Mathematics

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Determine whether f(x) = x-7 / x-6 is continuous at x = 6 using the continuity test. If discontinuous, name the type.

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ElyzabethY129233 ElyzabethY129233

04-11-2022

[tex]\begin{gathered} f(x)=\frac{x-7}{x-6} \\ \end{gathered}[/tex]

we need to evaluate in x=6

[tex]f(6)=\frac{6-7}{6-6}=\frac{-1}{0}[/tex]

it is discontinuous in x=6 because we can't divide with 0

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