Find the Domain f(x)=8x-3

Problem

ƒ(x)=8*x−3

Solution

1. Identify the type of function. The expression ƒ(x)=8*x−3 is a linear polynomial function.

2. Analyze the constraints. Polynomial functions do not contain any operations that restrict the input, such as division by zero or taking the square root of a negative number.

3. Determine the set of all possible input values. Since any real number can be multiplied by 8 and then have 3 subtracted from it, the function is defined for all real numbers.

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

Final Answer

Domain:(−∞,∞)

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