What is the domain of (x^2-16)/(x^2-10x+16) ?

The domain of (x^2-16)/(x^2-10x+16) is x 8

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domain of (x^2-16)/(x^2-10x+16)

domain

\frac{x ^{2} - 16}{x ^{2} - 10 x + 16}

x < 2 or 2 < x < 8 or x > 8

Interval Notation

(- \infty, 2) \cup (2, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = 2

The function domain

x < 2 or 2 < x < 8 or x > 8

What is the domain of (x^2-16)/(x^2-10x+16) ?
The domain of (x^2-16)/(x^2-10x+16) is x<2\lor 2<x<8\lor x>8