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Find the Domain F=1.8C+32

Problem

F=1.8*C+32

Solution

  1. Identify the type of function. The equation F=1.8*C+32 is a linear function where F is the dependent variable and C is the independent variable.

  2. Analyze the expression for restrictions. A function's domain is restricted if there are denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

  3. Determine the mathematical domain. Since the expression 1.8C + 32$ is a polynomial (specifically a first-degree polynomial), it is defined for all real numbers.

  4. Consider the physical context. In the context of temperature scales (Celsius and Fahrenheit), there is a theoretical lower limit called absolute zero, which is approximately −273.15*C However, in a pure mathematical sense without physical constraints, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)


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