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Mathematics 14 Online
OpenStudy (kj4uts):

Let f(x)=-2x/(x^2-x-8). There are two numbers that are not in the domain of f. Give the larger value to 2 decimal places.

OpenStudy (kj4uts):

OpenStudy (kj4uts):

@FibonacciChick666 I was wondering if you could help me with this?

OpenStudy (fibonaccichick666):

what number on the bottom makes a fraction go crazy?

OpenStudy (fibonaccichick666):

(not work, be infinite, undefined, indeterminate)

OpenStudy (fibonaccichick666):

what number can't you divide by?

OpenStudy (kj4uts):

I am a little confused what do you mean?

OpenStudy (fibonaccichick666):

well, there is one number you cannot divide by. What is it?

OpenStudy (fibonaccichick666):

If you google it, it will probably be the first result

OpenStudy (kj4uts):

you can divide by 0

OpenStudy (fibonaccichick666):

right, you can't divide by zero

OpenStudy (fibonaccichick666):

so, if you make the bottom of the fraction =0 all Helsinki will break loose. ie. the x value will not be a part of the domain

OpenStudy (fibonaccichick666):

so, just solve x^2-x-8=0 and you will have your two points :)

OpenStudy (kj4uts):

1/2 + square root 33 / 2 = 3.37

OpenStudy (fibonaccichick666):

wolfram likes it http://www.wolframalpha.com/input/?i=x%5E2-x-8%3D0

OpenStudy (kj4uts):

or 1/ 2 + square root 33 / 2 = -2.37 but they are looking for the larger number which is 3.37

OpenStudy (fibonaccichick666):

sounds right to me

OpenStudy (kj4uts):

I have one more problem I am working on in a graph is f(x) the same as y? Like if they said x approaches infinity what does f(x) approach is that basically y?

OpenStudy (kj4uts):

Thanks for your help again :)

OpenStudy (fibonaccichick666):

yea, f(x) and y are the same thing

OpenStudy (fibonaccichick666):

np

OpenStudy (kj4uts):

Ok because this is the graph I am looking at

OpenStudy (kj4uts):

OpenStudy (kj4uts):

The thing that has been throwing me off is that there is 3 lines

OpenStudy (fibonaccichick666):

yea, but you only care about where x goes to infinity

OpenStudy (kj4uts):

would that be the one at the top right and y is also going to infinity

OpenStudy (fibonaccichick666):

well the right side, and it looks like it's going up to me

OpenStudy (kj4uts):

to positive infinity?

OpenStudy (kj4uts):

Oh I see it thanks again :)

OpenStudy (fibonaccichick666):

np

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