What is the domain of f(x)=(x^2+17x+72)/(x^2+2x-80) ?

The domain of f(x)=(x^2+17x+72)/(x^2+2x-80) is x 8

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domain of f(x)=(x^2+17x+72)/(x^2+2x-80)

domain

f (x) = \frac{x ^{2} + 17 x + 72}{x ^{2} + 2 x - 80}

x < - 10 or - 10 < x < 8 or x > 8

Interval Notation

(- \infty, - 10) \cup (- 10, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 10

The function domain

x < - 10 or - 10 < x < 8 or x > 8

\frac{6 x}{x - 4}

4 - \frac{1}{( x + 1 ) ^{2}}

\frac{6 x}{x - 3}

\frac{x - 4}{x ^{2} + 5 x - 14}

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

What is the domain of f(x)=(x^2+17x+72)/(x^2+2x-80) ?
The domain of f(x)=(x^2+17x+72)/(x^2+2x-80) is x<-10\lor-10<x<8\lor x>8