Find the Domain 4-(10x+1)/6=(4x-16x+3)/4

Problem

4−(10*x+1)/6=(4*x−16*x+3)/4

Solution

1. Identify the type of equation. This is a linear equation involving rational expressions with constant denominators.

2. Analyze the denominators. The denominators in the equation are 6 and 4

3. Determine if there are any restrictions. A domain is restricted when there are variables in a denominator (causing division by zero) or under an even-indexed radical (causing negative radicands).

4. Conclude that since the denominators are constants (6≠0 and 4≠0 and there are no radicals or logarithms, the expression is defined for all real numbers.

Final Answer

Domain=(−∞,∞)

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