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

The domain of f(x)= 2/(x^2-6x+8) is x 4

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domain of f(x)= 2/(x^2-6x+8)

domain

f (x) = \frac{2}{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

4 x^{2} - 3

f (x) = - 3 x - 6

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

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

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

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