What is the domain of (m+2)/(2m+3)+5/(m-2) ?

The domain of (m+2)/(2m+3)+5/(m-2) is m 2

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domain of (m+2)/(2m+3)+5/(m-2)

domain

\frac{m + 2}{2 m + 3} + \frac{5}{m - 2}

m < - \frac{3}{2} or - \frac{3}{2} < m < 2 or m > 2

Interval Notation

(- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

m = - \frac{3}{2}, m = 2

The function domain

m < - \frac{3}{2} or - \frac{3}{2} < m < 2 or m > 2

What is the domain of (m+2)/(2m+3)+5/(m-2) ?
The domain of (m+2)/(2m+3)+5/(m-2) is m<-3/2 \lor-3/2 <m<2\lor m>2