# math

Find the holes and points of discontinuity:

12x^4+10x-3
-----------
x-1

and

12x+24
------
x^2+2x

In the first, examine x=1

and in the second, examine x=-2. Look at the numerator also at that same point.

Oh, I am so sorry, I typed the wrong thing. For the first, I meant:

12x^4+10x-3
-----------
3x^4

Wouldn't the pt of discontinuity be 0 because you set 3x^4 equal to 0.

And for the second, I got x=-2 as the hole and -2 and 0 as the pts of discontinuity.

This is my work:
12x+24=6(2x+4)
=6(2x-2)(x+2)
So you have:
6(2x-2)(x+2)
----------
x^2+2x

which equals

6(2x-2)(x+2)
-----------
(x+2)(x+0)

so I am assuming you typed the second one correctly, but your work is not correct.

(12x+24)/(x^2+2x)
=12(x+2)/(x(x+2))
=12/x

the (x+2)/(x+2) cancelled, which would be 0/0 when x=-2,

so there would be a "hole" when x=-2

your final expression contains x as a denominator, we cannot divide by 0, so the expression is discontinuous when x=0

I did say the hole was at x=-2. So there are no points of discontinuity, then?

to be speaking of points you have to have a function.
is the expression in the form y = ... or f(x)=...?

you merely gave an expression.
If a function is discontinuous there is usually an asymptote, which is a line that the graph will approach but can never ever reach.

in the case of your second expression, that asymptote is x=0, the y-axis.

so then since you are saying my second expression has an asymptote that means it is a function? so then doesn't that mean there are points of discontinuity?

1. 👍 0
2. 👎 0
3. 👁 58

## Similar Questions

1. ### pre-calculus

st andrews golf course in st andrews scotland is one of the oldest courses in the world. it is an 18-hole course that consists of par-3 holes, par-4 holes and par-5 holes. a golfer who shoots par at the old course at st andrews

asked by snow on September 22, 2011
2. ### geometry CA

Graph quadrilateral ABCD. Then determine the most precise name for each quadrilateral. 1. A (0, 5), B (–5, 0), C (0, –5), D (5, 0) (1 point) square kite rectangle 2. A (–4, 4), B (3, 4), C (5, 0), D (–2, 0) (1 point)

asked by Jesicca on March 11, 2011
3. ### math: counting techniques

Six problems (numbered 1 to 6) are set for a math test. A student can score 0, 1, 2, 3 points for each problem. Find the number of ways to score a total of 15 points for the six problems.

asked by tom on January 27, 2017
4. ### AP Chemistry

A mineral crystallizes in a cubic closest packed array of oxygen ions with aluminum ions in some of the octahedral holes and magnesium ions in some of the tetrahedral holes. Deduce the formula of this mineral and predict the

asked by Angel on November 17, 2009
5. ### Algebra

On an 18-hole golf course, there are par-3 holes, par-4 holes, and par-5 holes. A golfer who shoots par on every hole has a total of 66. There are twice as many par-4 holes as there are par-5 holes. How many of each type of hole

asked by Curious on February 19, 2014
6. ### English

Though remarkably inconvenient for my garden, the dog's rehab therapy is her digging of holes. Please correct me if I am wrong. digging of holes is a gerund Her ---what----digging of holes

asked by Anonymous on October 30, 2014
7. ### algebra

Find the points of discontinuity and any holes. y=x^2-1/(x^2+3x+2) please and thank you y =(x^2-1)/((x+1)(x+2)) =(x-1)/(x+2) we cancelled the (x+1)/(x+1) which is 0/0 for x=-1 so in our simplified expression when x=-1 y = -2 There

asked by Harry on April 27, 2007
8. ### Math

cameron is playing 9 holes of golf. He needs to score a total of at most 15 over par on the last four holes to beat his best golf score. On the last four holes, he scores 5 over par, 1 under par, 6 over par and 1 under par. a.

asked by Author on August 17, 2016
9. ### Calculus

On an 18-hole golf course, there are par-3 holes, par-4 holes and par-5 holes. A golfer shoots a par of 70 for the 18 holes. There are twice as many par-4 holes as par-5 holes. How many of each type of hole are there on the golf

asked by Cyndy on December 11, 2010
10. ### Math: Geometry

Joe is making a toy from a rectangular block of wood. He drills two holes, each with diameter 1.4 cm, through the block. The block of wood has length 15 cm, width 8 cm, and height 5 cm. a)What is the volume of the block before the

asked by Thomas Simmons on April 6, 2015

More Similar Questions