SOLUTION: State the domain for each rational function f(x)= x-3 _____ x-1 g(x)= x^2-4 _______ x-2 x-3 is over x-1 x^2-4 is over x-2

Algebra ->  Rational-functions -> SOLUTION: State the domain for each rational function f(x)= x-3 _____ x-1 g(x)= x^2-4 _______ x-2 x-3 is over x-1 x^2-4 is over x-2      Log On


   

Question 939476: State the domain for each rational function
f(x)= x-3
_____
x-1
g(x)= x^2-4
_______
x-2
x-3 is over x-1
x^2-4 is over x-2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
State the domain for each rational function
-------
In general the domain is "All Real Numbers".
I will list the elements that are NOT in the Domain.
----------------------
f(x)= (x-3)/(x-1)
Exclude x = 1
----------------------------
g(x)= (x^2-4)/(x-2)
Exclude x = 2
----------------------------
Why?? In each case the excluded number would make the denominator equal zero.
----------------
Cheers,
Stan H.
------------