Find the Domain F=1.8C+32
Problem
Solution
Identify the type of function. The equation
F=1.8*C+32 is a linear function whereF is the dependent variable andC is the independent variable.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.
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.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
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