What is the domain of f(x)=(5x+27)/(-6x-61) ?

The domain of f(x)=(5x+27)/(-6x-61) is x -61/6

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domain of f(x)=(5x+27)/(-6x-61)

domain

f (x) = \frac{5 x + 27}{- 6 x - 61}

x < - \frac{61}{6} or x > - \frac{61}{6}

Interval Notation

(- \infty, - \frac{61}{6}) \cup (- \frac{61}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{61}{6}

The function domain

x < - \frac{61}{6} or x > - \frac{61}{6}

What is the domain of f(x)=(5x+27)/(-6x-61) ?
The domain of f(x)=(5x+27)/(-6x-61) is x<-61/6 \lor x>-61/6