Find the Domain (12m+15m^2+6m^3)/(3m^2)

Problem

(12*m+15*m2+6*m3)/(3*m2)

Solution

1. Identify the denominator of the rational expression.

2. Set the denominator equal to zero to find the values that must be excluded from the domain, as division by zero is undefined.

3*m2=0

3. Solve for m by dividing both sides by 3

m2=0

4. Take the square root of both sides.

m=0

5. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except m=0

Final Answer

Domain: *{[m∈ℝ,m≠0]}

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