SOLUTION: find all real numbers excluded from the domain of { { { f(x)= x-6/5x^2+7x-6 } } } the give the domain using set notation

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Question 30748: find all real numbers excluded from the domain of
{ { { f(x)= x-6/5x^2+7x-6 } } }
the give the domain using set notation
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
SEE THE FOLLOWING EXAMPLE AND TRY..IF STILL IN DIFFICULTY PLEASE COME BACK
Find all real numbers excluded from the domain of
{ { { f(x)= 16x^2-9/20x^2-23x+6 } } }
then give the domain using set notation.
f(x)= 16x^2-9/20x^2-23x+6
={(4X)^2-(3)^2}/{20X^2-8X-15X+6}
=(4X-3)^2/{4X(5X-2)-3(5X-2)}
=(4X-3)^2/(4X-3)(5X-2)
HENCE THE DOMAIN IS ALL REAL NUMBERS EXCEPT 4X-3=0..OR...4X=3...OR..X=3/4 AND
5X-2=0...OR....5X=2...OR....X=2/5.......
HENCE DOMAIN OF F(X)={X E R (X IS NOT EQUAL TO 3/4 AND 2/5)}