Question

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

Answer 1

`\begin{gathered} f(x)=(x-7)/(x-6) \\ \end{gathered}`

we need to evaluate in x=6

`f(6)=(6-7)/(6-6)=(-1)/(0)`

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