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tester [92]
3 years ago
15

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

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

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

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