What is the domain of (x^2-12x+32)/(x^2-6x+8) ?

The domain of (x^2-12x+32)/(x^2-6x+8) is x 4

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domain of (x^2-12x+32)/(x^2-6x+8)

domain

\frac{x ^{2} - 12 x + 32}{x ^{2} - 6 x + 8}

x < 2 or 2 < x < 4 or x > 4

Interval Notation

(- \infty, 2) \cup (2, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 2

The function domain

x < 2 or 2 < x < 4 or x > 4

f (x) = \frac{( x - 3 )}{( x + 5 )}

f (x) = 2 - 3 x^{2} + 7 x, - 4 \leq x \leq 8

\frac{x ^{3} - 2 x ^{2} - 3 x}{x ^{2} - 4}

x + \frac{4}{x}

\frac{x ^{2} - 9 x + 20}{4 x ^{2} - 12 x - 40}

What is the domain of (x^2-12x+32)/(x^2-6x+8) ?
The domain of (x^2-12x+32)/(x^2-6x+8) is x<2\lor 2<x<4\lor x>4