What is the domain of f(x)=(x^2-16)/(x^2-11x+24) ?

The domain of f(x)=(x^2-16)/(x^2-11x+24) is x 8

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domain of f(x)=(x^2-16)/(x^2-11x+24)

domain

f (x) = \frac{x ^{2} - 16}{x ^{2} - 11 x + 24}

x < 3 or 3 < x < 8 or x > 8

Interval Notation

(- \infty, 3) \cup (3, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = 3

The function domain

x < 3 or 3 < x < 8 or x > 8

What is the domain of f(x)=(x^2-16)/(x^2-11x+24) ?
The domain of f(x)=(x^2-16)/(x^2-11x+24) is x<3\lor 3<x<8\lor x>8