Find the Domain g(x)=2x-1

Problem

g(x)=2*x−1

Solution

1. Identify the type of function. The function g(x)=2*x−1 is a linear function, which is a specific type of polynomial.

2. Determine if there are any restrictions. For a function to have a restricted domain, there must be potential issues such as division by zero (fractions) or taking the square root of a negative number (radicals).

3. Analyze the expression. Since 2*x−1 contains no denominators or radicals, any real number can be substituted for x to produce a real output.

4. Conclude the domain. The domain of any polynomial function is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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