Find the Domain x+y=25^9

Problem

x+y=25

Solution

1. Identify the type of equation. The equation x+y=25 is a linear equation in two variables, x and y

2. Isolate the dependent variable y to express it as a function of x

y=25−x

3. Analyze the function for restrictions. The expression 25−x is a polynomial (specifically a linear function).

4. Determine the domain. Since there are no denominators containing x no square roots of negative values, and no logarithms of non-positive numbers, x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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