Find the Domain f(x)=3^2-5

Problem

ƒ(x)=3^2−5

Solution

1. Identify the type of function provided. The expression ƒ(x)=3^2−5 is a constant function because it does not contain the variable x

2. Simplify the expression to see its value. Since 3^2=9 the function is ƒ(x)=9−5 which simplifies to ƒ(x)=4

3. Determine the constraints on the input variable x A constant function is defined for all real numbers because there are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

4. State the domain in interval notation. Since there are no restrictions, the domain includes every real number from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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