SOLUTION: let p(x)=x^2+x+1 q(x)=3x-2 find (p/q)(x)= domain of (p/q)(x)= thanks

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Question 1109357: let p(x)=x^2+x+1
q(x)=3x-2
find (p/q)(x)=
domain of (p/q)(x)=
thanks
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if
p%28x%29=x%5E2%2Bx%2B1
q%28x%29=3x-2
then %28p%2Fq%29%28x%29=%28x%5E2%2Bx%2B1%29%2F%283x-2%29 will be:
%28p%2Fq%29%28x%29=%28x%5E2%2Bx%2B1%29%2F%283x-2%29
domain of %28p%2Fq%29%28x%29=%28x%5E2%2Bx%2B1%29%2F%283x-2%29 will be all values of x except the value that makes denominator %283x-2%29=0
and, it will be 3x-2=0 ->3x=2 ->x=2%2F3
so, domain is: { x element R+: x%3C%3E2%2F3 }