What is the domain of f(x)= x/(9x+6) ?

The domain of f(x)= x/(9x+6) is x -2/3

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domain of f(x)= x/(9x+6)

domain

f (x) = \frac{x}{9 x + 6}

x < - \frac{2}{3} or x > - \frac{2}{3}

Interval Notation

(- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{3}

The function domain

x < - \frac{2}{3} or x > - \frac{2}{3}

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

f (x) = 2 (5)^{x} + 3

f (x) = - 9 y^{2} - 121 + 5 x^{2} + 54 y - 10 x = 0

\frac{( x - 6 )}{x ^{2} - 36}

f (x) = \frac{x + 3}{x ^{2} - 5}

What is the domain of f(x)= x/(9x+6) ?
The domain of f(x)= x/(9x+6) is x<-2/3 \lor x>-2/3