Question

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

Answer 1

Point if discontinuity:

`{x}= \pm3`

Zero of the function is

`x = 0`

Step-by-step 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 √(9)`

`{x}= \pm3`

The function is zero when,

`3x = 0`

`x = 0`