Identify the excluded value for the rational function.
y=4x-1
PLEASE help me understand this!!!

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- anonymous

Identify the excluded value for the rational function.
y=4x-1
PLEASE help me understand this!!!

- schrodinger

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- SolomonZelman

this function here, that you posted is a polynomial

- SolomonZelman

that function includes any x-value in it's domain. It is continuous over \((-\infty,~+\infty)\)

- SolomonZelman

there are no excluded x values in a polynomial.

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## More answers

- anonymous

Are you sure because I have already tried answering this and I put 0, and it says that i'm wrong. The options are: 0, 1, 2, and 3.

- SolomonZelman

you put y=4x-1, you see that, correct?

- SolomonZelman

maybe it is \(\large\color{black}{ \displaystyle y=\frac{\rm something}{\rm another~~something } }\)

- anonymous

ya it's y=4/x-1

- SolomonZelman

oh, \(\large\color{black}{ \displaystyle y=\frac{4}{x-1} }\)

- SolomonZelman

that is much better:)

- SolomonZelman

what number can't you divide by, do you know?

- anonymous

x?

- SolomonZelman

4 ÷ what = undefined or indeterminate ?

- SolomonZelman

you can divide by 1, you can divide by 3, you can divide by -0.0003, but you can NOT divide by 0. right?

- SolomonZelman

you can divide by anything, but not by 0

- anonymous

right

- SolomonZelman

so, in your function \(\large\color{black}{ \displaystyle y=\frac{4}{x-1} }\) , there is one x-value that will not give you an adequate output, because you would need to divide by 0.

- SolomonZelman

you are dividing by x-1.
so, when (for what x-value) is this the same as dividing by 0 ?

- SolomonZelman

(in other words, when "x-1" is equivalent to 0? when x=what ?)

- anonymous

undefined?

- SolomonZelman

ok, lets go about it in a different way...

- SolomonZelman

you can't divde by 0, you know that?

- anonymous

yes

- SolomonZelman

in our case we are dividing 4 by "x-1", yes?

- SolomonZelman

now, when dividing by x-1, is going to be the same thing as dividing by 0, that will give us an undefined result.

- SolomonZelman

dividing by x-1 is same as dividing by 0, when x-1 is same as 0.
there is one x-value for which x-1 is same as 0.
x-1=0
when is x-1=0?

- anonymous

idk

- SolomonZelman

I tried my best, I apologize, but I don't think I can help you more. I am capable of you the answer, but I am not going to.

- SolomonZelman

of giving you*

- SolomonZelman

bye

- anonymous

Well thanks anyway

- SolomonZelman

-;( yw

- anonymous

@SolomonZelman I think I am understanding this more. x-1=0 is 1-1=0 is this correct?

- anonymous

So this would mean that the excluded value is 1 right? @SolomonZelman

- SolomonZelman

yes, yes very good!

- SolomonZelman

the excluded value is 1.
x≠1

- SolomonZelman

:)

- anonymous

Thank you so much for helping!!

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