Find the Domain f(x)=3-7x

Problem

ƒ(x)=3−7*x

Solution

1. Identify the type of function. The expression ƒ(x)=3−7*x is a linear polynomial function.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input, such as division by zero (fractions with variables in the denominator) or even roots of negative numbers (square roots).

3. Determine the set of all possible input values. Since any real number can be multiplied by −7 and subtracted from 3 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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