What is the domain of (5x-6)/(9x+1) ?

The domain of (5x-6)/(9x+1) is x -1/9

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domain of (5x-6)/(9x+1)

domain

\frac{5 x - 6}{9 x + 1}

x < - \frac{1}{9} or x > - \frac{1}{9}

Interval Notation

(- \infty, - \frac{1}{9}) \cup (- \frac{1}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{9}

The function domain

x < - \frac{1}{9} or x > - \frac{1}{9}

f (x) = \frac{3}{x ^{2} - 9}

\frac{x ^{2} + x - 6}{x ^{2} + 2 x - 3}

f (x) = x 2 - 10 x + 16

\frac{x}{2 x ^{2} + 4}

f (x) = - 4 x + 7 y = 3 - 4 x + 7 y = 3

What is the domain of (5x-6)/(9x+1) ?
The domain of (5x-6)/(9x+1) is x<-1/9 \lor x>-1/9