What is the domain of f(x)=log_{2}(x^2-2x-3) ?

The domain of f(x)=log_{2}(x^2-2x-3) is x 3

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domain of f(x)=log_{2}(x^2-2x-3)

domain

f (x) = lo g_{2} (x^{2} - 2 x - 3)

x < - 1 or x > 3

Interval Notation

(- \infty, - 1) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < - 1 or x > 3

The function domain

x < - 1 or x > 3

\frac{4 x ^{\frac{1}{2}}}{9}

g (t) = 1 0^{t} - 100

ln (6 - 2 x)

g (x) = x - 8 + 6

y = \frac{2100 + 8 t}{1 + 0.5 t}

What is the domain of f(x)=log_{2}(x^2-2x-3) ?
The domain of f(x)=log_{2}(x^2-2x-3) is x<-1\lor x>3