# TANYA GRAPE NEEDS HELP!!

#### TanyaGrape

##### New member
FIND THE DOMAIN OF EACH FUNCTION

f(x)=1/3x

how can i find the domain of the function?

#### pka

##### Elite Member
What does domain of a function mean?
Find the definition.

G

#### Guest

##### Guest
domain

This is a very elementary operation. The domain of a function is all of the x-values for that problem. This "definition" may seem quite confusing if you do not know how to graph this equation. One you graph it you will see that the domain is all the values of x that are found in the graph. So the domain will be all real numbers from (-inf,3],[3,+inf).

#### skeeter

##### Senior Member
depends on what you mean ...

y = (1/3)x

or

y = 1/(3x)

???

domain will be all real numbers from (-inf,3],[3,+inf).
isn't that just (-inf, inf) since 3 is included in both intervals?

thank you..

#### daon

##### Senior Member
skeeter said:
isn't that just (-inf, inf) since 3 is included in both intervals?
Its obvious he meant (-inf,3), (3, inf), which is still incorrect...

Tanya, the domain in the sense that this problem is asking is the set of all x values that:

1. Do not make a zero in the denominator
2. Do not create a negative under a square root