SOLUTION: What is the domain of 3x+7/(4x+2)(x-1). Please show work!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the domain of 3x+7/(4x+2)(x-1). Please show work!      Log On


   



Question 346701: What is the domain of 3x+7/(4x+2)(x-1). Please show work!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If there's one thing you should never forget it's that you CANNOT divide by zero. So if you have something like 1%2Fx, this means that x%3C%3E0 (otherwise you'll have a division by zero error). So if we extend this idea to %283x%2B7%29%2F%28%284x%2B2%29%28x-1%29%29, then we'll notice that the denominator %284x%2B2%29%28x-1%29 can't be equal to zero.


In other words, %284x%2B2%29%28x-1%29%3C%3E0. So if you solve the equation %284x%2B2%29%28x-1%29=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)"