Find the Domain y=2x-6

Problem

y=2*x−6

Solution

1. Identify the type of function. The given equation y=2*x−6 is a linear function, which is a specific type of polynomial function.

2. Analyze the expression for any restrictions. Domain restrictions typically occur with divisions by zero (fractions), square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine if any restrictions apply. Since there are no denominators, radicals, or logarithms in the expression 2*x−6 the variable x can take any real number value.

4. Conclude the domain. For all polynomial functions, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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