Final answer:
To find the values of y for which the ratio (y + 3) / (5y² + 3y - 2) is defined, we need to determine the values of y that make the denominator non-zero. We can do this by setting the denominator equal to zero and solving for y.
Step-by-step explanation:
To find the values of y for which the ratio (y + 3) / (5y² + 3y - 2) is defined, we need to determine the values of y that make the denominator non-zero. In other words, we need to find the values of y that do not make the expression undefined.
To do this, we set the denominator equal to zero and solve for y:
5y² + 3y - 2 = 0
This is a quadratic equation, which can be factored or solved using the quadratic formula.
After finding the roots of the equation, we can use them to determine the values of y for which the ratio is defined.