Question

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

Answer 1

this function here, that you posted is a polynomial

Answer 2

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

Answer 3

there are no excluded x values in a polynomial.

Answer 4

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.

Answer 5

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

Answer 6

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

Answer 7

ya it's y=4/x-1

Answer 8

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

Answer 9

that is much better:)

Answer 10

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

Answer 11

x?

Answer 12

4 ÷ what = undefined or indeterminate ?

Answer 13

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

Answer 14

you can divide by anything, but not by 0

Answer 15

right

Answer 16

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.

Answer 17

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

Answer 18

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

Answer 19

undefined?

Answer 20

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

Answer 21

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

Answer 22

yes

Answer 23

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

Answer 24

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

Answer 25

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?

Answer 26

idk

Answer 27

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.

Answer 28

of giving you*

Answer 29

bye

Answer 30

Well thanks anyway

Answer 31

-;( yw

Answer 32

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

Answer 33

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

Answer 34

yes, yes very good!

Answer 35

the excluded value is 1.
x≠1

Answer 36

:)

Answer 37

Thank you so much for helping!!