Question

Somebody seriously please help me.

What is the excluded value of the rational expression
(x - 4)/(6) ÷ (x + 1)/(7)?

Answer 1

Any value that makes the denominator 0 is excluded.

Answer 2

I know but I don't know what or how to find the excluded value of this rational expression @Mertsj

Answer 3

As it is written, the denominators are constants and can never be 0. However, if you attempt to do the computation, the second fraction will have to be inverted and then the denominator will be x+1.

Answer 4

Is this right? 7(x + 4)/ 6(x +1)

Answer 5

You know that dividing is the same a multiplying by the reciprocal, right?

Answer 6

(69+69)/ 6(9x+69)

Answer 7

Yes I think

Answer 8

? @SemiColonProject

Answer 9

\[\frac{x-4}{6}\div \frac{x+1}{7}=\frac{x-4}{6}\times\frac{7}{x+1}\]

Answer 10

Does that look familiar?

Answer 11

A little

Answer 12

So what number would cause the denominator to be 0?

Answer 13

Can you show me the next step then I would know what number would cause the denominator to be 0.

Answer 14

The denominator of concern is x+1. Do you know that?

Answer 15

Okay

Answer 16

Because the other denominator is 6 and 6 is never 0

Answer 17

So talking about the denominator x+1...Would it be 0 if x is 0?

Answer 18

Yes?

Answer 19

No

Answer 20

Right. Very good.

Answer 21

If we replace x with 1, will x+1 be 0?

Answer 22

No

Answer 23

So what number WILL make x+1 be 0?

Answer 24

Here are the answer choices for this question:
A. -1
B. 4
C. -7
D. None of the above.

Answer 25

We could write x+1=0 and solve it to find out. Can you solve that?

Answer 26

I got it!!!!!!!!! It's -1

Answer 27

Very good. You are very smart.

Answer 28

Thanks. So -1 is the answer right? Just to be sure.

Answer 29

Yes it is.

Answer 30

And you are welcome.

Answer 31

I got the problem right. Thanks again.

Answer 32

@Mertsj