Find the Domain 4x-10=x-4

Problem

4*x−10=x−4

Solution

1. Identify the type of expression given. The equation 4*x−10=x−4 is a linear equation involving a single variable x

2. Analyze the functions on both sides of the equation. Both ƒ(x)=4*x−10 and g(x)=x−4 are polynomial functions of degree 1.

3. Determine any restrictions. Polynomial functions are defined for all real numbers because they do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

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

Final Answer

Domain=(−∞,∞)

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