What is the domain of f(x)=(2x^2-3)/(x^3+3x^2+3x+1) ?

The domain of f(x)=(2x^2-3)/(x^3+3x^2+3x+1) is x -1

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domain of f(x)=(2x^2-3)/(x^3+3x^2+3x+1)

domain

f (x) = \frac{2 x ^{2} - 3}{x ^{3} + 3 x ^{2} + 3 x + 1}

x < - 1 or x > - 1

Interval Notation

(- \infty, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

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

x^{3} - 21

\frac{4}{2 s ^{2} + 2 s + 2}

f (x) = \frac{( x - 6 )}{x ^{2}}

f (x) = x (x + 7)

What is the domain of f(x)=(2x^2-3)/(x^3+3x^2+3x+1) ?
The domain of f(x)=(2x^2-3)/(x^3+3x^2+3x+1) is x<-1\lor x>-1