Asked by Ian
Find all discontinuities of the given function. Also, describe the discontinuities.
f(x)= [(x-8)^2(x+3)(2x^2+3x-5)]/[(x+4)^2(2x+5)(x-3)(x^2-1)]
f(x)= [(x-8)^2(x+3)(2x^2+3x-5)]/[(x+4)^2(2x+5)(x-3)(x^2-1)]
Answers
Answered by
Reiny
your expression factors to
[(-8)^2(x+3)(2x+5)(x-1)]/[(x+4)^2(2x+5)(x+1)(x-1)]
So the graph is discontinuous at
x = -4, -5/2, -1, 1
There will be asymptotes at
x=-4 and x=-1
and holes at x= -5/2 and x=1
[(-8)^2(x+3)(2x+5)(x-1)]/[(x+4)^2(2x+5)(x+1)(x-1)]
So the graph is discontinuous at
x = -4, -5/2, -1, 1
There will be asymptotes at
x=-4 and x=-1
and holes at x= -5/2 and x=1
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.