What is the domain of (x-8)/(2x+9) ?

The domain of (x-8)/(2x+9) is x -9/2

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domain of (x-8)/(2x+9)

domain

\frac{x - 8}{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) = 100 x^{\frac{1}{2}} - 10 x

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

x^{3} - 5 x^{2} - 8 x + 4

2 cos (3 x - \frac{π}{4})

f (x) = ∣ 1 + cos (3 x) ∣

What is the domain of (x-8)/(2x+9) ?
The domain of (x-8)/(2x+9) is x<-9/2 \lor x>-9/2