What is the domain of (2x-1)/(9x+5) ?

The domain of (2x-1)/(9x+5) is x -5/9

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domain of (2x-1)/(9x+5)

domain

\frac{2 x - 1}{9 x + 5}

x < - \frac{5}{9} or x > - \frac{5}{9}

Interval Notation

(- \infty, - \frac{5}{9}) \cup (- \frac{5}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{9}

The function domain

x < - \frac{5}{9} or x > - \frac{5}{9}

f (x) = \frac{1}{- x ^{2} + 9 x + 10}

f (x) = (x + 2)^{3} - 3

f (x) = (x + 2)^{3} - 2

3 x + 11

(x - 2)^{2} + 4

What is the domain of (2x-1)/(9x+5) ?
The domain of (2x-1)/(9x+5) is x<-5/9 \lor x>-5/9