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

f (x) = \frac{9}{2 x + 1}

y = \frac{1}{2 x ^{2} - 3 x + 4}

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

\frac{x ^{2} - 3}{x ^{2} + 1}

y = lo g_{10} (2 x)

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