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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.