What is the domain of pi-3arctan((x-1)/(2x+5)) ?

The domain of pi-3arctan((x-1)/(2x+5)) is x -5/2

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domain of pi-3arctan((x-1)/(2x+5))

domain

x < - \frac{5}{2} or x > - \frac{5}{2}

Interval Notation

(- \infty, - \frac{5}{2}) \cup (- \frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{2}

The function domain

x < - \frac{5}{2} or x > - \frac{5}{2}

What is the domain of pi-3arctan((x-1)/(2x+5)) ?
The domain of pi-3arctan((x-1)/(2x+5)) is x<-5/2 \lor x>-5/2