Find the Domain 2÷(3/5)+(3/5)÷2+1 1/2÷6+6÷1 1/2

Problem

2÷3/5+3/5÷2+11/2÷6+6÷11/2

Solution

1. Identify the nature of the expression. The expression consists of constants and basic arithmetic operations (addition and division). There are no variables present.

2. Check for constraints. The domain of a function or expression is the set of all possible input values (x for which the expression is defined. Since this expression contains no variables, it is a constant numerical value.

3. Verify denominators. A numerical expression is defined as long as no division by zero occurs. In this expression, all divisors are non-zero constants: 3/5 2 6 and 11/2

4. Determine the domain. Because there are no variables to restrict and no division by zero, the expression is defined for all real numbers if it were a constant function ƒ(x)=c However, for a purely numerical expression with no variables, the domain is conventionally considered to be all real numbers ℝ or (−∞,∞)

Final Answer

Domain=(−∞,∞)

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