calculus
posted by Ian on .
Find all discontinuities of the given function. Also, describe the discontinuities.
f(x)= [(x8)^2(x+3)(2x^2+3x5)]/[(x+4)^2(2x+5)(x3)(x^21)]

your expression factors to
[(8)^2(x+3)(2x+5)(x1)]/[(x+4)^2(2x+5)(x+1)(x1)]
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