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Find the Domain 5.72x+2.54(150-x)=150

Problem

5.72*x+2.54*(150−x)=150

Solution

  1. Identify the type of equation provided. The expression 5.72x + 2.54(150 - x) = 150i*s(a)*l*i*n*e*a*r*e*q*u*a*t*i*o*n*i*n*o*n*e*v*a*r*i*a*b*l*e,$.

  2. Analyze the components for restrictions. The equation consists of polynomial terms (specifically, linear terms) and constants.

  3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

  4. Determine the domain based on the absence of restrictions. Since there are no denominators containing x no radicals, and no transcendental functions with restricted inputs, the variable x can be any real number.

Final Answer

Domain: *(−∞,∞)


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