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1

elise4714.02.2022 07:40To find the domains you must graph this equation and find the x-coordinates of the points plotted. That's the domain.

Remember, if two points have the same x-coordinate then do not repeat the number when stating the domain. Domain also always must be written in the least to greatest order. Domains must be written with {} enclosing them.

So if the x-coordinates were 4,5,6,4,7,5

You would write the domain as {4,5,6,7}

beard414.02.2022 07:40undefined

.

Equating the denominator to zero and solving gives the value that x cannot be.

solve

3

x

−

2

=

0

⇒

x

=

2

3

←

excluded value

⇒

domain is

x

∈

R

,

x

≠

2

3

Rearrange to make x the subject

y

(

3

x

−

2

)

=

1

⇒

3

x

y

−

2

y

=

1

⇒

3

x

y

=

1

+

2

y

⇒

x

=

1

+

2

y

3

y

solve

3

y

=

0

⇒

y

=

0

←

excluded value

⇒

range is

y

∈

R

,

y

≠

0

graph{1/(3x-2) [-10, 10, -5, 5]}