What is the domain of f(x)=log_{10}(x^2-4x-12) ?

The domain of f(x)=log_{10}(x^2-4x-12) is x 6

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domain of f(x)=log_{10}(x^2-4x-12)

domain

f (x) = lo g_{10} (x^{2} - 4 x - 12)

x < - 2 or x > 6

Interval Notation

(- \infty, - 2) \cup (6, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > 6

The function domain

x < - 2 or x > 6

f (x) = 3 + 2 x

g (x) = x^{2} + 5 x + 6

y = \frac{x ^{5}}{3 x + 27}

\frac{3 x}{x ^{2} - 11 x + 24}

\frac{10 x}{6 - 2 x ^{2}}

What is the domain of f(x)=log_{10}(x^2-4x-12) ?
The domain of f(x)=log_{10}(x^2-4x-12) is x<-2\lor x>6