Question

Domain of 1/3 x-2 is

Answer 1

Answer:

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]}

Answer 2

Find the domain by finding where the expression is defined. The range is the set of values that correspond with the domain.

Domain:  

( − ∞ , ∞  ) ,  { x | x ∈ R }

Range:  

( − ∞ , ∞ )  ,  { y | y ∈ R }

GRAPH IS IN ATTACHMENT