State the domain restriction for y = 5/(x+16)

To determine the domain restriction for the function y = 5/(x + 16), we need to identify the values of x that will result in a valid output (i.e., a real number).

The expression (x + 16) is used as the denominator of the fraction. Dividing by zero is undefined in mathematics, so we must avoid any values of x that make the denominator equal to zero.

To find the domain restriction, we set the denominator to zero and solve for x:

x + 16 = 0

Subtracting 16 from both sides:

x = -16

Therefore, the domain restriction for y = 5/(x + 16) is x ≠ -16. This means that any real value of x, except -16, is allowed in the domain.