What is the domain of ((x^2+16))/(x^3+27) ?

The domain of ((x^2+16))/(x^3+27) is x -3

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domain of ((x^2+16))/(x^3+27)

domain

\frac{( x ^{2} + 16 )}{x ^{3} + 27}

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

a sy m pt o t es f (x) = \frac{( x + 2 ) ( x - 3 )}{2 x ^{2}}

m o n o t o n e \frac{- x ^{2} + 1}{( x ^{2} + 1 ) ^{2}}

d o main f (x) = \frac{x - 5}{x + 1}

sy mm e t ry - 0.1 x^{2} + 0.7 x + 6

in f l ec t i o n f (x) = - 3 x^{4} + 18 x^{2}

What is the domain of ((x^2+16))/(x^3+27) ?
The domain of ((x^2+16))/(x^3+27) is x<-3\lor x>-3