What is the domain of (2x^2-14x+24)/(x^2+6x-40) ?

The domain of (2x^2-14x+24)/(x^2+6x-40) is x 4

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domain of (2x^2-14x+24)/(x^2+6x-40)

domain

\frac{2 x ^{2} - 14 x + 24}{x ^{2} + 6 x - 40}

x < - 10 or - 10 < x < 4 or x > 4

Interval Notation

(- \infty, - 10) \cup (- 10, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 10

The function domain

x < - 10 or - 10 < x < 4 or x > 4

What is the domain of (2x^2-14x+24)/(x^2+6x-40) ?
The domain of (2x^2-14x+24)/(x^2+6x-40) is x<-10\lor-10<x<4\lor x>4