What is the domain of f(x)=log_{10}(x^2-2x-15) ?

The domain of f(x)=log_{10}(x^2-2x-15) is x 5

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domain of f(x)=log_{10}(x^2-2x-15)

domain

f (x) = lo g_{10} (x^{2} - 2 x - 15)

x < - 3 or x > 5

Interval Notation

(- \infty, - 3) \cup (5, \infty)

Solution steps

Find positive values for logs:

x < - 3 or x > 5

The function domain

x < - 3 or x > 5

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

f (x) = ln (x + 1 + x^{2})

f (x) = \frac{x ^{2} - 4}{x ^{2} + x - 12}

sin (x - 4)

f (x) = 7 x^{2} + 1

What is the domain of f(x)=log_{10}(x^2-2x-15) ?
The domain of f(x)=log_{10}(x^2-2x-15) is x<-3\lor x>5