SOLUTION: I would be so grateful if someone could help me out with this. Thanks so much! Give the values of x which must be excluded from the domain of the following function. f(x)= x

Question 80272: I would be so grateful if someone could help me out with this. Thanks so much!
Give the values of x which must be excluded from the domain of the following function.
f(x)= x+1
-------
x^2-4x-12
I really appreciate any help on this!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Give the values of x which must be excluded from the domain of the following function.
f(x)= (x+1)/(x^2-4x-12)
Factor to get:
f(x)/[(x-6)(x+2)]
------------------
X-values are excluded if they make the denominator zero or if they
make a radicand negative for radicals with even index.
--------------
Your Problem:
You have no radicals, so forget that.
You have a denominator so x cannot be 6 and it cannot be -2.
------------
Therefore the domain is All Real Numbers except x=-2 and x=6.
===========
Cheers,
Stan H.

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