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Find the excluded values:
f(x)=3x-4/3x^2-12
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Excluded values are those that make the denominator equal to zero (the roots of the denominator).
In our case, the denominator is (3x^2 -12), and it factors this way
3x^2 - 12 = 3*(x^2-4) = 3*(x-2)*(x+2).
So the roots are 2 and -2. They are excluded values. ANSWER
Solved.