Question

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

Answer 1

ANSWER

$x=2$

EXPLANATION

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

$y=\frac{-4x+81}{x-2}$

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.