What is the domain of f(x)=(1-4x)/(6+x) ?

The domain of f(x)=(1-4x)/(6+x) is x -6

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domain of f(x)=(1-4x)/(6+x)

domain

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

f (x) = 3 + x - 2

f (x) = e^{4 x}

f (x) = 3 x^{2} - 5 x

\frac{( x - 7 ) ^{2} ( 5 - x )}{x + 1 - 1}

What is the domain of f(x)=(1-4x)/(6+x) ?
The domain of f(x)=(1-4x)/(6+x) is x<-6\lor x>-6