Respuesta :
Point of discontinuity for each rational function. y= x-1 / (x+1)² is x = -1
What is the discontinuity of a function?
In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. Discontinuous functions may have three different sorts of discontinuities: jump, removable, and essential. The graph of a discontinuous function contains gaps.
Given the function is -
y= x-1 / (x+1)²
It can be expressed in the form of -
y = x-1 / (x+1)(x+1)
The function will be undefined if the denominator will be 0
⇒ x+1 = 0
⇒ x = -1
So we can conclude that the function will be undefined at point x = -1
To learn more about discontinuity from given link
https://brainly.com/question/10957479
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