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

2 Answers
Jim H
Apr 28, 2015

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.)

Massimiliano
Apr 28, 2015

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

#x=4# and #x=-3#.

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