What is the domain of f(x)=-x/(3x+1)-1 ?

The domain of f(x)=-x/(3x+1)-1 is x -1/3

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domain of f(x)=-x/(3x+1)-1

domain

f (x) = - \frac{x}{3 x + 1} - 1

x < - \frac{1}{3} or x > - \frac{1}{3}

Interval Notation

(- \infty, - \frac{1}{3}) \cup (- \frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{3}

The function domain

x < - \frac{1}{3} or x > - \frac{1}{3}

f (x) = ln (\frac{3 - x}{x - 1})

f (x) = \frac{x - 15}{x ^{3} + 4 x}

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

f (x) = 9 x - 3

\frac{1 + x}{x}

What is the domain of f(x)=-x/(3x+1)-1 ?
The domain of f(x)=-x/(3x+1)-1 is x<-1/3 \lor x>-1/3