What is the domain of f(x)=(-2x-15)/(5x+13) ?

The domain of f(x)=(-2x-15)/(5x+13) is x -13/5

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domain of f(x)=(-2x-15)/(5x+13)

domain

f (x) = \frac{- 2 x - 15}{5 x + 13}

x < - \frac{13}{5} or x > - \frac{13}{5}

Interval Notation

(- \infty, - \frac{13}{5}) \cup (- \frac{13}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{13}{5}

The function domain

x < - \frac{13}{5} or x > - \frac{13}{5}

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

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

h (x) = x + 16

ln (x - 7)

ln (x - 9)

What is the domain of f(x)=(-2x-15)/(5x+13) ?
The domain of f(x)=(-2x-15)/(5x+13) is x<-13/5 \lor x>-13/5