What is the domain of h(x)=log_{2}(x^2-5x+6) ?

The domain of h(x)=log_{2}(x^2-5x+6) is x 3

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domain of h(x)=log_{2}(x^2-5x+6)

domain

h (x) = lo g_{2} (x^{2} - 5 x + 6)

x < 2 or x > 3

Interval Notation

(- \infty, 2) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < 2 or x > 3

The function domain

x < 2 or x > 3

f (x) = \frac{x ^{2} - 25}{x ^{2} + 81}

\frac{5 x}{x - 1}

f (x) = \frac{x ^{2} + x + 1}{x - 3 + 2 x}

- lo g_{2} (x - 2)

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

What is the domain of h(x)=log_{2}(x^2-5x+6) ?
The domain of h(x)=log_{2}(x^2-5x+6) is x<2\lor x>3