Find the Domain (52-x)/6

Problem

(52−x)/6

Solution

1. Identify the type of function provided. The expression is a linear polynomial divided by a constant, which is a specific type of rational function.

2. Check for restrictions on the variable x In a rational expression, the denominator must not be zero. In this case, the denominator is the constant 6 which is never zero.

3. Determine if there are any other constraints. There are no square roots of negative numbers or logarithms of non-positive numbers involved in the expression.

4. Conclude that since there are no values of x that make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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