Find the Domain (5x-10)/7

Problem

(5*x−10)/7

Solution

1. Identify the type of function. This is a linear function (or a first-degree polynomial) because it can be rewritten as 5/7*x−10/7

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

3. Analyze the denominator. The denominator is the constant 7 which is never equal to zero regardless of the value of x

4. Determine the domain. Since there are no values of x that cause division by zero or result in non-real numbers (like square roots of negatives), the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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