Find the Domain 8u=4v-32

Problem

8*u=4*v−32

Solution

1. Identify the variables in the equation. The equation 8*u=4*v−32 represents a linear relationship between two variables, u and v

2. Isolate the dependent variable. To find the domain, we typically express the equation in terms of an independent variable. Solving for v gives:

4*v=8*u+32

v=2*u+8

3. Analyze the function type. The resulting expression v=2*u+8 is a linear function.

4. Determine any restrictions. Linear functions are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers.

5. State the domain. Since there are no constraints, the domain for the independent variable u is all real numbers.

Final Answer

Domain: *(−∞,∞)

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