SOLUTION: F(x) = 3/3-2x and g(x)=2x/2x-3 Determine f×g and give the set of Dt x g or it's domain

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Question 1181024: F(x) = 3/3-2x and g(x)=2x/2x-3
Determine f×g and give the set of Dt x g or it's domain
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

F%28x%29+=+3%2F%283-2x%29 and g%28x%29=2x%2F%282x-3%29
Determine f%2Ag
f%2Ag=%283%2F%283-2x%29%29%282x%2F%282x-3%29%29
f%2Ag=6x%2F%28%282x-3%29%283-2x%29%29
f%2Ag=6x%2F%28-%283-2x%29%283-2x%29%29
f%2Ag=-6x%2F%28%283-2x%29%5E2%29

it's domain is all real numbers except those which make denominator equal to zero
so, %283-2x%29%5E2=0
3-2x=0
3=2x
x=3%2F2
domain is { x element R+: x%3C%3E3%2F2 }