What is the domain of f(4)=(24)/(x(x+2)) ?

The domain of f(4)=(24)/(x(x+2)) is x 0

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domain of f(4)=(24)/(x(x+2))

domain

f (4) = \frac{24}{x ( x + 2 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2

The function domain

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

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

\frac{x}{x ^{2} + 3}

f (x) = 7 x^{4}

f (x) = 2 x^{2} + 1

y = - x^{2} + 1

What is the domain of f(4)=(24)/(x(x+2)) ?
The domain of f(4)=(24)/(x(x+2)) is x<-2\lor-2<x<0\lor x>0