Find the Domain of a Given Function y = x ^ 2 + 8

Consider the function y = x² + 8. At the request of the task, we find the domain of this function. An analysis of the formula of this function shows that its formula contains only two arithmetic operations: addition and multiplication, since squaring requires performing an arithmetic multiplication operation. As you know, the arithmetic operations of addition and multiplication do not impose restrictions on the numbers on which these operations are performed.
Based on the above, we conclude that this function is defined for all х ∈ (-∞; + ∞).
Answer: The domain of the function y = x² + 8 is the set (-∞; + ∞).