Question

what are the restrictions for y for the following equation?
z = \frac{10}{5 + y}

Explanation:

Step1: Recall denominator restriction

A fraction is undefined when its denominator is zero. So, set the denominator \(5 + y\) equal to zero to find the restricted value.
\(5 + y = 0\)

Step2: Solve for y

Subtract 5 from both sides of the equation.
\(y = -5\)

Answer:

The restriction for \(y\) is that \(y
eq - 5\).