What is the domain of f(x)=(13)/(3x+13) ?

The domain of f(x)=(13)/(3x+13) is x -13/3

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domain of f(x)=(13)/(3x+13)

domain

f (x) = \frac{13}{3 x + 13}

x < - \frac{13}{3} or x > - \frac{13}{3}

Interval Notation

(- \infty, - \frac{13}{3}) \cup (- \frac{13}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{13}{3}

The function domain

x < - \frac{13}{3} or x > - \frac{13}{3}

f (x) = x^{2} + 8 x - 20

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

- (\frac{1}{4})^{x} - 2

\frac{- 2 x ^{2} + 5 x - 1}{2 x - 1}

f (x) = x^{2} - 16 \cdot (x^{2} + x - 2)

What is the domain of f(x)=(13)/(3x+13) ?
The domain of f(x)=(13)/(3x+13) is x<-13/3 \lor x>-13/3