What is the domain of f(x)=(x(x-2)^2)/((x+5)^3) ?

The domain of f(x)=(x(x-2)^2)/((x+5)^3) is x -5

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domain of f(x)=(x(x-2)^2)/((x+5)^3)

domain

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

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

2 cos^{2} (x)

x^{3} - 3 x + 1

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

2 sin (2 x) + 3

f (x) = (x^{2} - 2 x - 15) (x^{2} - 7 x + 10)

What is the domain of f(x)=(x(x-2)^2)/((x+5)^3) ?
The domain of f(x)=(x(x-2)^2)/((x+5)^3) is x<-5\lor x>-5