SOLUTION: Hello, Problem: Given the equation xy + 3y = 2x + 1, show that y is a function of x and determine the domain in interval notation. Thank you in advance, Ryan

Question 905083: Hello,
Problem:
Given the equation xy + 3y = 2x + 1, show that y is a function of x and determine the domain in interval notation.
Thank you in advance,
Ryan

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First solve for y

The function is which can also be written as (since y = f(x))

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You cannot divide by zero. So , the denominator, can't be equal to zero. Set it equal to zero and solve for x

The value causes the denominator to be zero. Therefore, we must kick it out of the domain. Any other real number is perfectly fine since it doesn't cause a division by zero error.

Domain: Set of all real numbers x such that

Domain in interval notation:

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