What are the points of discontinuity of #y =(x + 3)/((x - 4)(x + 3)#?

Answer 1

The discontinuity points are the zeroes of the denominator, so:

#x=4# and #x=-3#.
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Answer 2
The function #f(x) = (x+3)/((x-4)(x+3))# is undefined at #x = -3# and at #x = 4#.

It is continuous on its domain. (Every rational function iscontinuous on its domain.)

Since #f# is defined near 4 and -3, there are discontinuities at 4 and -3.

(The discontinuity at 4 is infinite and that at -3 is removable.)

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Answer 3

The point of discontinuity of the function y = (x + 3)/((x - 4)(x + 3)) is x = -3 and x = 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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