<PRE><B>Question 197213</B>
If f(x)= 3x^2 -27/ 18x + 30 and g(x) = x^2 -7x +12/ 3x^2 -7x -20 , find f(x) divided by g(x) for all values of x for which the expression is defined and express your answer in simplest form. Help is appreciated! Thank you!
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f(x) = [3(x-3)(x+3)]/[6(3x+5)]
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g(x) = [(x-3)(x-4)]/[3x^2 -12x + 5x - 20]
= [(x-3)(x-4)]/[(x-4)(3x+5)]
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Cancel the factors that are common to a numerator and a denominator to get:
f(x)/g(x) = [(x+3)/2/[1/1]
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f(x)/g(x) = [(x+3)/[2]
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Cheers,
Stan H.</PRE>