What is the domain of f(x)=(1-5x)/(6+x) ?

The domain of f(x)=(1-5x)/(6+x) is x -6

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domain of f(x)=(1-5x)/(6+x)

domain

f (x) = \frac{1 - 5 x}{6 + x}

x < - 6 or x > - 6

Interval Notation

(- \infty, - 6) \cup (- 6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 6

The function domain

x < - 6 or x > - 6

\frac{x ^{3}}{x ^{2} + 1}

f (x) = 3 - sin (x) 3 - x

f (x) = 2 - 3 x

f (x) = 3 x^{2} - 4 x + 1

y = \frac{1}{x ^{2} - 9}

What is the domain of f(x)=(1-5x)/(6+x) ?
The domain of f(x)=(1-5x)/(6+x) is x<-6\lor x>-6