What is the domain of f(x)=(1-4x)/(5+x) ?

The domain of f(x)=(1-4x)/(5+x) is x -5

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domain of f(x)=(1-4x)/(5+x)

domain

f (x) = \frac{1 - 4 x}{5 + x}

x < - 5 or x > - 5

Interval Notation

(- \infty, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5

The function domain

x < - 5 or x > - 5

\frac{x ^{2} - 9}{4 x ^{2}}

f (x) = \frac{2 x ^{2} - x - 9}{x ^{2} - 1}

lo g_{4} (x)

ln (5 - x)

y = (2 - x)^{2}

What is the domain of f(x)=(1-4x)/(5+x) ?
The domain of f(x)=(1-4x)/(5+x) is x<-5\lor x>-5