What is the domain of f(x)=((5x^3-4))/(x^2+2x-15) ?

The domain of f(x)=((5x^3-4))/(x^2+2x-15) is x 3

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domain of f(x)=((5x^3-4))/(x^2+2x-15)

domain

f (x) = \frac{( 5 x ^{3} - 4 )}{x ^{2} + 2 x - 15}

x < - 5 or - 5 < x < 3 or x > 3

Interval Notation

(- \infty, - 5) \cup (- 5, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 5

The function domain

x < - 5 or - 5 < x < 3 or x > 3

What is the domain of f(x)=((5x^3-4))/(x^2+2x-15) ?
The domain of f(x)=((5x^3-4))/(x^2+2x-15) is x<-5\lor-5<x<3\lor x>3