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

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

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domain of f(x)=log_{2}(x^2-6x+8)

domain

f (x) = lo g_{2} (x^{2} - 6 x + 8)

x < 2 or x > 4

Interval Notation

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

Solution steps

Find positive values for logs:

x < 2 or x > 4

The function domain

x < 2 or x > 4

f (x) = 10 - 2 x + 3 x - 1

f (x) = x + 3 - \frac{1 - x}{x}

f (x) = \frac{5 - 2 x}{- 7 x}

f (x) = 6 x + 12

f (x) = x - 5 + 3

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