What is the domain of f(x)=(-x^3-x+5)/(2x^3+3x^2-7) ?

The domain of f(x)=(-x^3-x+5)/(2x^3+3x^2-7) is x 1.14937…

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domain of f(x)=(-x^3-x+5)/(2x^3+3x^2-7)

domain

f (x) = \frac{- x ^{3} - x + 5}{2 x ^{3} + 3 x ^{2} - 7}

x < 1.14937 \dots or x > 1.14937 \dots

Interval Notation

(- \infty, 1.14937 \dots) \cup (1.14937 \dots, \infty)

Solution steps

Find undefined (singularity) points:

x = 1.14937 \dots

The function domain

x < 1.14937 \dots or x > 1.14937 \dots

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

2 x^{2} + 4 x - 6

\frac{x ^{2} - 81}{x ^{2} - 64}

12 - x + 3

f (x) = \frac{x}{x ^{2} + 8 x + 15}

What is the domain of f(x)=(-x^3-x+5)/(2x^3+3x^2-7) ?
The domain of f(x)=(-x^3-x+5)/(2x^3+3x^2-7) is x<1.14937…\lor x>1.14937…