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Question 970909: f(x)=x^2 -12x+35 / x^2 + 3x-18
Find all values of
x
that are NOT in the domain of
f
.
If there is more than one value, separate them with commas.
Found 2 solutions by stanbon, Boreal:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! f(x)=x^2 -12x+35 / x^2 + 3x-18
Find all values of x that are NOT in the domain of f
.
If there is more than one value, separate them with commas.
Show the factored form of "f"::
f(x) = [(x-7)(x-5)]/[(x-6)(x+3)]
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Answer:: x = 6 or x = -3
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Cheers,
Stan H.
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Answer by Boreal(15235)  (Show Source):
You can put this solution on YOUR website! The domain is where the denominator becomes 0. Even if the denominator has something that can be divided out, ANYTHING that makes the denominator 0 is NOT in the domain.
Factor x^2 + 3x -18
It has x + and x - because the last term is negative.
The factors are 6 and 3, and 6 goes with the plus, because the middle term is positive.
(x+6) (x-3) are factors, and when they equal 0, the values of x are NOT in the domain.
Domain is EVERYTHING BUT x = -6 and x = + 3
All reals but x= -6,3
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