What are the removable and non-removable discontinuities, if any, of #f(x)=(x^3 - x^2 - 72 x)/ (x - 9) #?
1 Answer
Dec 20, 2016
It has a removable singularity at
Explanation:
We have:
# f(x)=(x^3 - x^2 - 72 x)/ (x - 9) #
Clearly when the denominator
Let's see if we can remove it:
# f(x)=(x(x^2 - x - 72 ))/ (x - 9) #
# " " =(x(x+8)(x-9))/ (x - 9) #
And so we can "cancel" the
# f(x) =x(x+8) #