What is the domain of f(x)=((x^2-16))/(x^2-6x+8) ?

The domain of f(x)=((x^2-16))/(x^2-6x+8) is x 4

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domain of f(x)=((x^2-16))/(x^2-6x+8)

domain

f (x) = \frac{( x ^{2} - 16 )}{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) = 9 - x^{2} + x + 3

f (x) = \frac{- 16 + 9 x}{4}

y = 10 + \frac{10}{4 x + 12}

f (x) = 3 x + 8

f (x) = 3 (x - 4)

What is the domain of f(x)=((x^2-16))/(x^2-6x+8) ?
The domain of f(x)=((x^2-16))/(x^2-6x+8) is x<2\lor 2<x<4\lor x>4