Question

Where is the point of discontinuity of y = (-4x + 81)/(x - 2) ?

Answer 1

`x=2`

Step-by-step explanation

We want to find the point of discontinuity of the given rational function:

`y=(-4x+81)/(x-2)`

To find the point of discontinuity, equate the denominator to 0 and solve for x:

`\begin{gathered} x-2=0 \\ x-2+2=0+2 \\ x=2 \end{gathered}`

That is the point of discontinuity of the function.