Find the Domain (5m^2+m)/(7m)

Problem

(5*m2+m)/(7*m)

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.

7*m=0

3. Solve for m by dividing both sides by 7

m=0

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

m≠0

Final Answer

Domain: *{m|m∈ℝ,m≠0}

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