What is the domain of f(x)=((x+3)^2)/(x(x+4)(x-2)) ?

The domain of f(x)=((x+3)^2)/(x(x+4)(x-2)) is x 2

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domain of f(x)=((x+3)^2)/(x(x+4)(x-2))

domain

f (x) = \frac{( x + 3 ) ^{2}}{x ( x + 4 ) ( x - 2 )}

x < - 4 or - 4 < x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4, x = 2

The function domain

x < - 4 or - 4 < x < 0 or 0 < x < 2 or x > 2

\frac{7 x + 9}{x ^{4} + 16}

f (x) = lo g_{5} (x - 6) + 2

- e^{- x}

f (x) = ln (24 - 3 x^{2} + 6 x)

13 b

What is the domain of f(x)=((x+3)^2)/(x(x+4)(x-2)) ?
The domain of f(x)=((x+3)^2)/(x(x+4)(x-2)) is x<-4\lor-4<x<0\lor 0<x<2\lor x>2