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Find the Domain 4(2x-5)=x+50

Problem

4*(2*x−5)=x+50

Solution

  1. Identify the type of equation provided. The expression 4*(2*x−5)=x+50 is a linear equation.

  2. Analyze the functions involved. Both sides of the equation consist of polynomial expressions (specifically, linear functions).

  3. Determine the constraints on the variable x Polynomials are defined for all real numbers because there are no denominators containing variables, no square roots of negative numbers, and no logarithms of non-positive numbers.

  4. Conclude the domain. Since there are no values of x that make the expression undefined, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)


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