# Thread: Interval notation

1. ## Interval notation

Write the domain in interval notation notation and determine the y-intercept.

g(x)= x - 3

f(x)= 1/ x-3

Thanks.

2. Originally Posted by rowdy3
Write the domain in interval notation notation and determine the y-intercept.

g(x)= x - 3

f(x)= 1/ x-3

Thanks.
For g(x) there are no restrictions on the domain so the domain would be $( -\infty, \infty )$. You do the range.

For f(x) I presume you mean
$f(x) = \frac{1}{x - 3}$
PLEASE use parenthesis!!

Here the domain is all reals except for x = 3, so that would be $(-\infty, -3) \cup (-3, \infty )$. Again I will leave the range to you. (Hint: What value can f(x) not take?)

-Dan

3. as to finding the y - intercept, think about it. if it intersects the y - axis, then it's gonna have an x - coordinate of zero. so plug in zero for x to find the y - intercept.