calculus
posted by Ian .
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
Respond to this Question
Similar Questions

limitas, asymptotes and discontinuities??
f(x) = 1/(x^2x2) does f(x) have two or three asymptotes does f(x) have one or two discontinuities We have f(x) = 1/(x^2x2) or f(x)=1/[(x2)(x+1)] f has vert. asympt. at the roots of the denominator. As x becomes unbounded in either … 
asymptotes and discontinuity 2???
consider the function f(x) = 1/x  1 for x not=0 and f(x) = 0 for x = 0. decide whether f(x) has a)one symptote and two discontinuities b)two asymptotes and two discontinuities c)two asymptotes and one discontinuity I'm not sure if … 
calculus
Can anyone please explain to me that how can I find the discontinuities of the following function? 
calculus
Locate the discontinuities of the function. y = 2/(1 + e^(1\/x)) 
calculus
Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity. g(x)= x, x<3 5x/(x^24x), x>= 3 
Calculus (Discontinuities)
Suppose, f(x) = { (x  1)^2 / x + 1 if x < 2 (x^2  2x  8)/(x  4) if 2 </= x < 4 (1 / (x  3)) + 5) if 4 </= x Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite, or jump … 
calculus
find all discontinuities (16x/2x38x3=0) 
AP Calculus
Consider the function f(x)= abs(x)(x3)/9x^2 a) what is the domain of f? 
pre calc
The following piecewise function gives the tax owed, T(x), by a single taxpayer on a taxable income of x dollars. T(x) = (i) Determine whether T is continuous at 6061. (ii) Determine whether T is continuous at 32,473. (iii) If T had … 
calculus
Locate the discontinuities of the function y=(5)/(3+e^(1/x))