What is the domain of f(x)=(4x+20)/(x^2+5x) ?

The domain of f(x)=(4x+20)/(x^2+5x) is x 0

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domain of f(x)=(4x+20)/(x^2+5x)

domain

f (x) = \frac{4 x + 20}{x ^{2} + 5 x}

x < - 5 or - 5 < x < 0 or x > 0

Interval Notation

(- \infty, - 5) \cup (- 5, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 5

The function domain

x < - 5 or - 5 < x < 0 or x > 0

\frac{1}{4} x + 5

f (x) = 3 sin (2 x) + cos (\frac{x}{2})

x^{7}

f (x) = \frac{x ^{3}}{x - 1}

(1, 4), (3, 1)

What is the domain of f(x)=(4x+20)/(x^2+5x) ?
The domain of f(x)=(4x+20)/(x^2+5x) is x<-5\lor-5<x<0\lor x>0