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

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

f (x) = \frac{x ^{2} - 81}{x ^{2} - 13 x + 36}

f (x) = \frac{6 x}{x + 7}

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

\frac{- x ^{2} + 1}{( x ^{2} + 1 ) ^{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