Posted by **Lily** on Saturday, April 28, 2007 at 11:56am.

Can someone please help me with these few problems here?

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?

## Answer this Question

## Related Questions

- calculus please help! - Which of the following functions f has a removable ...
- algebra2 - 1/3 - 5/6 = 1/X SOLVE 1/3 - 5/6 = 1/X Let's remove the denominators ...
- algbrea - 3x-5(3x-7)= 2(x+9) + 45 3x-15x+35= 2x+18 +45 -12x + 35 = 2x+63 -12x -...
- Urgent Math please check - Very Important I can get someone to check these for ...
- algebra - Find the points of discontinuity and any holes. y=x^2-1/(x^2+3x+2) ...
- Algebra 1 - 1) what is the simplified form of (x-2)(2x+3)? Use the distributive...
- Algebra - Can someone please check my work for me. Q: Plot the graph of the ...
- Polynomial- Doublecheck2 - I asked this earlier, but I didn't get an answer. I'm...
- calculus - Please help!! Okay so my teacher has been away and hasent explained ...
- Algebra II - I honestly forgot how to do these type of problems. Can someone ...

More Related Questions