What is the domain of f(x)=(\sqrt[3]{3x-15})/(x+2) ?

The domain of f(x)=(\sqrt[3]{3x-15})/(x+2) is x -2

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domain of f(x)=(\sqrt[3]{3x-15})/(x+2)

domain

x < - 2 or x > - 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

f (x) = 4 x^{2} - 1

f (x) = \frac{x}{x ^{2} - 64}

f (x) = (x - 2)^{2} - 1

(3 x - 4) - (2 - x)

x^{2} - 3 x + 2

What is the domain of f(x)=(\sqrt[3]{3x-15})/(x+2) ?
The domain of f(x)=(\sqrt[3]{3x-15})/(x+2) is x<-2\lor x>-2