Find the Domain yxyxyx=121212

Problem

y*x*y*x*y*x=121212

Solution

1. Simplify the expression on the left side by combining the variables using exponent rules.

y3*x3=121212

2. Isolate the variable y to express the equation as a function of x

y3=121212/(x3)

3. Solve for y by taking the cube root of both sides.

y=√(3,121212/(x3))

4. Identify the restrictions on the variable x Since the expression involves a fraction, the denominator cannot be zero.

x3≠0

5. Determine the domain by solving the inequality. The cube root function is defined for all real numbers, so the only restriction is that x cannot be zero.

x≠0

Final Answer

Domain: *{[x∈ℝ,x≠0]}

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