What is the domain of f(x)=(x-5)/(x^2-6x+8) ?

The domain of f(x)=(x-5)/(x^2-6x+8) is x 4

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domain of f(x)=(x-5)/(x^2-6x+8)

domain

f (x) = \frac{x - 5}{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{6}{x + 3} \cdot \frac{7}{x}

f (x) = ∣ x ∣^{2} - 16

f (x) = x^{\frac{4}{5}} (x^{2} - 9)

f (x) = 1 - ln (5 x - 1)

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

What is the domain of f(x)=(x-5)/(x^2-6x+8) ?
The domain of f(x)=(x-5)/(x^2-6x+8) is x<2\lor 2<x<4\lor x>4