Question

Find the domain restrictions

Answer 1

@mathgeek27 @mathaddict4471 @mark1

Answer 2

this is a fraction
what can you not have on the bottom of fractions?

Answer 3

the c

Answer 4

i'm asking what can you not divide by?

Answer 5

you can divide by 3 because 5/3 or 6/3 or 11/3 or -11/3 is a number
you can divide by -1 because 5/-1 or so on is a number
but you cannot divide by ?

Answer 6

0

Answer 7

right
to find the restrictions on the domain you need to find when the bottom will equal 0

Answer 8

when is c-2 equal to 0

Answer 9

wouldnt you adda negative to it

Answer 10

You are trying to solve c-2=0 .
How do you get c by itself?

Answer 11

-2+what=0?

Answer 12

add 2

Answer 13

yes add 2 on both sides

Answer 14

c-2=0
+2 +2
===========
c=2

Answer 15

So this means c can be any real number except 2

Answer 16

ok

Answer 17

if your question also says to simplify the expression you can do that as well by factoring the top
but the domain you just found will remain for the simplified version

Answer 18

so c-2 will stay the same?

Answer 19

no the domain will stay the same

Answer 20

oh okay

Answer 21

are you done with this question? or is there more to it then finding the domain?

Answer 22

thats it

Answer 23

do you understand how to find the domain for a fraction now?

Answer 24

yes thank you

Answer 25

\[\text{ the domain for } \frac{c^2-11c+18}{c-2} \text{ is } \\ \text{ all real numbers except c=2}\]