What is the domain of f(x)= x/(10x+81) ?

The domain of f(x)= x/(10x+81) is x -81/10

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domain of f(x)= x/(10x+81)

domain

f (x) = \frac{x}{10 x + 81}

x < - \frac{81}{10} or x > - \frac{81}{10}

Interval Notation

(- \infty, - \frac{81}{10}) \cup (- \frac{81}{10}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{81}{10}

The function domain

x < - \frac{81}{10} or x > - \frac{81}{10}

3 x^{2} - 2 x + 1

f (x) = \frac{- 2 x}{( x + 7 ) ( 6 - x )}

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

\frac{1}{4 - 9 x}

f (x) = \frac{15 - x}{x ^{2} + 2 x - 15}

What is the domain of f(x)= x/(10x+81) ?
The domain of f(x)= x/(10x+81) is x<-81/10 \lor x>-81/10