Find the Domain 4x-8=6x-8

Problem

4*x−8=6*x−8

Solution

1. Identify the type of expression provided. The expression 4*x−8=6*x−8 is a linear equation.

2. Determine if there are any restrictions on the variable x Restrictions typically occur in cases involving division by zero (rational expressions), square roots of negative numbers (radical expressions), or logarithms of non-positive numbers.

3. Analyze the components of the equation. Both sides of the equation are polynomials of degree 1. Polynomials are defined for all real numbers.

4. Conclude that since there are no denominators, radicals, or logarithms, any real number can be substituted for x

Final Answer

Domain=(−∞,∞)

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