What is the domain of f(x)=log_{2}(x^2-7*x+12) ?

The domain of f(x)=log_{2}(x^2-7*x+12) is x 4

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domain of f(x)=log_{2}(x^2-7*x+12)

domain

f (x) = lo g_{2} (x^{2} - 7 \cdot x + 12)

x < 3 or x > 4

Interval Notation

(- \infty, 3) \cup (4, \infty)

Solution steps

Find positive values for logs:

x < 3 or x > 4

The function domain

x < 3 or x > 4

f (x) = x^{4} - 8 x^{3}

f (x) = 2 x^{2} - 12 x + 18

f (x) = - 3 x^{2} + 4 x - 3

\frac{x ^{2} - 81}{x ^{3} + 7 x ^{2} - 18 x}

f (x) = 2 - x + 4

What is the domain of f(x)=log_{2}(x^2-7*x+12) ?
The domain of f(x)=log_{2}(x^2-7*x+12) is x<3\lor x>4