# calculus

posted by .

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)]

• calculus -

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

## Similar Questions

1. ### limitas, asymptotes and discontinuities??

f(x) = 1/(x^2-x-2) does f(x) have two or three asymptotes does f(x) have one or two discontinuities We have f(x) = 1/(x^2-x-2) or f(x)=1/[(x-2)(x+1)] f has vert. asympt. at the roots of the denominator. As x becomes unbounded in either …
2. ### 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 …
3. ### calculus

Can anyone please explain to me that how can I find the discontinuities of the following function?
4. ### calculus

Locate the discontinuities of the function. y = 2/(1 + e^(1\/x))
5. ### 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^2-4x), x>= -3
6. ### 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 …
7. ### calculus

find all discontinuities (16x/2x3-8x3=0)
8. ### AP Calculus

Consider the function f(x)= abs(x)(x-3)/9-x^2 a) what is the domain of f?
9. ### 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 …
10. ### calculus

Locate the discontinuities of the function y=(5)/(3+e^(1/x))

More Similar Questions

Post a New Question