Find the Domain 5/(3y)+1*(-3/(4y))+5/2

Problem

5/(3*y)+1⋅(−3/(4*y))+5/2

Solution

1. Identify the expression and look for any operations that could restrict the domain, such as division by zero or square roots of negative numbers.

2. Analyze the denominators in the expression, which are 3*y 4*y and 2

3. Set the denominators containing the variable y to zero to find the excluded values.

3*y=0

4*y=0

4. Solve for y in both equations to determine the values that would make the expression undefined.

y=0

5. State the domain as all real numbers except for the values that cause division by zero.

Final Answer

Domain: *{y|y∈ℝ,y≠0}

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