# Domain And Range Equations

#### JakeHunterTX

##### New member
What is the range of the fuction

f(x) = 1/2x+4
When the domain is { -2,0,2,6 }

#### jwpaine

##### Full Member
Plug the values from your domain into your function to get the outputted "range" of numbers. For every input there should be one output.

Cheers,
John.

#### Subhotosh Khan

##### Super Moderator
Staff member
JakeHunterTX said:
What is the range of the fuction

f(x) = 1/2x+4
When the domain is { -2,0,2,6 }
I assume your problem looks like:

$$\displaystyle f(x) = \frac{1}{2x+4}$$

for this function (-2) should not be included in the domain - because the function is undefined at x= -2.

By the way, you should write the fuction above as

f(x) = 1/(2x+4) ..... watch those extra parenthesis.

the way you wrote it, that translates to:

$$\displaystyle f(x) = \frac{1}{2} x + 4 = \frac{x}{2} + 4$$....If this is the given problem to be solved, then x = -2 is within the domain
........................................because f(-2) = 3 (defined)