Find the Domain x^7+y^8+8

Problem

ƒ(x,y)=x7+y8+8

Solution

1. Identify the type of function provided. The expression x7+y8+8 is a polynomial function of two variables, x and y

2. Check for restrictions such as denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine that there are no such restrictions for polynomial functions, as they are defined for all real numbers.

4. Conclude that the domain consists of all possible pairs of real numbers (x,y)

Final Answer

Domain:{(x,y)∈ℝ2}

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