What is the domain of (x-1)/(2x+9) ?

The domain of (x-1)/(2x+9) is x -9/2

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domain of (x-1)/(2x+9)

domain

\frac{x - 1}{2 x + 9}

x < - \frac{9}{2} or x > - \frac{9}{2}

Interval Notation

(- \infty, - \frac{9}{2}) \cup (- \frac{9}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{9}{2}

The function domain

x < - \frac{9}{2} or x > - \frac{9}{2}

f (x) = \frac{2 x ^{2} - 9}{2 x ^{2} - 18}

5 x^{2} + 2 x - 1

5 x^{2} + 2 x - 8

5 x^{2} + 2 x - 4

f (x) = \frac{3 x ^{2} - 21 x}{6 x ^{2} - 39 x - 21}

What is the domain of (x-1)/(2x+9) ?
The domain of (x-1)/(2x+9) is x<-9/2 \lor x>-9/2