SOLUTION: What is the domain of 3x+7/(4x+2)(x-1). Please show work!
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Question 346701: What is the domain of 3x+7/(4x+2)(x-1). Please show work!
Answer by jim_thompson5910(35256) (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 , this means that (otherwise you'll have a division by zero error). So if we extend this idea to , then we'll notice that the denominator can't be equal to zero.
In other words, . So if you solve the equation , 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)"
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