What is the domain of f(x)=(1-5x)/(2+x) ?

The domain of f(x)=(1-5x)/(2+x) is x -2

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domain of f(x)=(1-5x)/(2+x)

domain

f (x) = \frac{1 - 5 x}{2 + x}

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

5 x

f (x) = 6 x + 24

f (x) = arctan (2 x^{4})

lo g_{10} (3) (x - 5)

f (x) = - 7 x + 9

What is the domain of f(x)=(1-5x)/(2+x) ?
The domain of f(x)=(1-5x)/(2+x) is x<-2\lor x>-2