Find the Domain g(x)=7x-8

Problem

g(x)=7*x−8

Solution

1. Identify the type of function. The expression 7*x−8 is a linear polynomial.

2. Check for restrictions. Polynomial functions do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the set of all possible input values. Since there are no mathematical restrictions, 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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