What is the domain of (x+5)/(3x+1) ?

The domain of (x+5)/(3x+1) is x -1/3

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domain of (x+5)/(3x+1)

domain

\frac{x + 5}{3 x + 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) = \frac{1}{sin ( x )}

x^{2} + 5

f (x) = 9 + x^{2}

arcsin (\frac{1}{1 - x})

\frac{t - 2}{4 t - 12}

What is the domain of (x+5)/(3x+1) ?
The domain of (x+5)/(3x+1) is x<-1/3 \lor x>-1/3