Find the Domain 7/8x+1/4=3/4x

Problem

7/(8*x)+1/4=3/(4*x)

Solution

1. Identify the denominators containing the variable x In this equation, the denominators are 8*x 4 and 4*x

2. Determine the values that make any denominator equal to zero, as division by zero is undefined in mathematics.

3. Set the variable denominators equal to zero and solve for x

8*x=0

x=0

4*x=0

x=0

4. Exclude these values from the set of all real numbers to define the domain. Since x=0 is the only value that results in a zero denominator, the domain consists of all real numbers except 0

Final Answer

Domain:{x|x∈ℝ,x≠0}

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