what are the restricted values of y for the rational expression to be defined: 2y-3/9y+7
To determine the restricted values of y for which a rational expression is defined, we need to identify the values of y that make the denominator equal to zero. This is because division by zero is undefined in mathematics.
In this case, the denominator of the rational expression is 9y + 7. To find the restricted values of y, we set the denominator equal to zero and solve for y:
9y + 7 = 0
To isolate y, we can subtract 7 from both sides of the equation:
9y = -7
Finally, dividing both sides by 9:
y = -7/9
Therefore, the restricted value of y for the rational expression (2y - 3)/(9y + 7) is y = -7/9. This value of y would result in division by zero, making the expression undefined. For all other values of y, the expression is defined.