Find the Domain (2x-6)/7

Problem

(2*x−6)/7

Solution

1. Identify the type of function provided. This is a linear function (or a first-degree polynomial) divided by a constant.

2. Analyze the denominator for potential restrictions. In a rational expression, the domain is restricted only if the denominator can equal zero.

3. Determine if any values of x cause division by zero. Since the denominator is the constant 7 it can never be zero regardless of the value of x

4. Conclude that there are no restrictions on the input variable x Therefore, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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