Find the Domain w-3.5t-24=0

Problem

w−3.5*t−24=0

Solution

1. Identify the variables in the equation. The equation w−3.5*t−24=0 relates two variables, w and t

2. Determine the independent variable. In a standard linear relation of this form, we typically express one variable as a function of the other. If we treat t as the independent variable, we solve for w

3. Isolate the dependent variable w by adding 3.5*t and 24 to both sides.

w=3.5*t+24

4. Analyze the resulting function. The expression $3.5t + 24$ is a linear polynomial.

5. Evaluate restrictions. Polynomials are defined for all real numbers. There are no denominators that could be zero, no square roots of negative numbers, and no logarithms.

6. Conclude the domain. Since there are no mathematical restrictions on the input t the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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