Question 346701
If there's one thing you should never forget it's that you CANNOT divide by zero. So if you have something like {{{1/x}}}, this means that {{{x<>0}}} (otherwise you'll have a division by zero error). So if we extend this idea to {{{(3x+7)/((4x+2)(x-1))}}}, then we'll notice that the denominator {{{(4x+2)(x-1)}}} can't be equal to zero. 



In other words, {{{(4x+2)(x-1)<>0}}}. So if you solve the equation {{{(4x+2)(x-1)=0}}}, then you'll find the x values that make the denominator equal to zero. So this means that those values will be excluded from the domain.



So your answer will be in the form: "The domain is the set of all real numbers except x cannot equal (the x values that make the denominator zero)"