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

π - 3 arctan (\frac{x - 1}{2 x + 5})

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}

f (x) = \frac{1}{3} x + 2

f (x) = \frac{x - 5}{x ^{2} - 11 x + 30}

5 x^{2} + 10 x

2^{x} - 5

7 x - 6

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