What is the domain of sqrt((x^3+8)/(x^2+9x+14)) ?

The domain of sqrt((x^3+8)/(x^2+9x+14)) is -7 -2

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domain of sqrt((x^3+8)/(x^2+9x+14))

domain

\frac{x ^{3} + 8}{x ^{2} + 9 x + 14}

- 7 < x < - 2 or x > - 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

- 7 < x < - 2 or x > - 2

Find undefined (singularity) points:

x = - 2, x = - 7

Combine real regions and undefined points for final function domain

- 7 < x < - 2 or x > - 2

f (x) = 10 - x

f (x) = 8 x^{2} + 7 x - 1

10 x + 6 y = 8

\frac{9}{8} x + 5

ln (9 - t^{2})

What is the domain of sqrt((x^3+8)/(x^2+9x+14)) ?
The domain of sqrt((x^3+8)/(x^2+9x+14)) is -7<x<-2\lor x>-2