What are the discontinuities of the function f(x) = the quantity x squared minus 36 over the quantity 4x minus 24?

Discontinuities of the function is x = 6  .

Step-by-step explanation:

Given : f(x) = the quantity x squared minus 36 over the quantity 4x minus 24

To find : What are the discontinuities of the function .

Solution : We have given

f(x) = .

On factoring

4x - 24 = 4 ( x -6 ).

Then , f(x) = .

f(x) =  .

A point of discontinuity occurs when a number is both a zero of the numerator and denominator.

Hence , at x = 6 both numerator and denominator is zero.

Therefore, Discontinuities of the function is x = 6  .

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step-by-step explanation: