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

The domain of f(x)=(x+2)/(x^2-17x+72) is x 9

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 9, x = 8

The function domain

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

f (x) = \frac{3 x + 1}{x ^{2} + x - 2}

\frac{1}{cos ( x )}

7 x

- 2 x^{2} - 16 x - 30

x + 2 - 3

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