Question

Identify the discontinuity and zero of the function f(x) = 3x/x^2-9

Answer 1

ANSWER

Point if discontinuity:

${x}= \pm3$

Zero of the function is

$x = 0$

EXPLANATION

The given rational function is:

$f(x) = \frac{3x}{ {x}^{2} - 9}$

This function is not continous when

${x}^{2} - 9 = 0$

${x}= \pm \sqrt{9}$

${x}= \pm3$

The function is zero when,

$3x = 0$

$x = 0$