What is the domain of (x^2+4x)/(x^3-17x^2+72x) ?

The domain of (x^2+4x)/(x^3-17x^2+72x) is x 9

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domain of (x^2+4x)/(x^3-17x^2+72x)

domain

\frac{x ^{2} + 4 x}{x ^{3} - 17 x ^{2} + 72 x}

x < 0 or 0 < x < 8 or 8 < x < 9 or x > 9

Interval Notation

(- \infty, 0) \cup (0, 8) \cup (8, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 8, x = 9

The function domain

x < 0 or 0 < x < 8 or 8 < x < 9 or x > 9

s im pl i f y (- 2.7) (4.3)

r an g e f (x) = 7^{x}

l in e (1, 7), (- 3, - 1)

in v erse y = 12000 - \frac{11800}{x + 1}

d o main tan (\frac{π}{3} x)

What is the domain of (x^2+4x)/(x^3-17x^2+72x) ?
The domain of (x^2+4x)/(x^3-17x^2+72x) is x<0\lor 0<x<8\lor 8<x<9\lor x>9