Find the Domain ((3y^6)/(4y^2))^3

Problem

((3*y6)/(4*y2))3

Solution

1. Identify the expression as a rational function raised to a power.

2. Determine the restriction for the domain by looking at the denominator of the fraction inside the parentheses.

3. Set the denominator equal to zero to find the values that must be excluded from the domain.

4*y2=0

4. Solve for y to find the vertical asymptote or hole.

y2=0

y=0

5. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{[y∈ℝ,y≠0]}

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