What is the domain of f(x)=sqrt(x^2-2x-15) ?

The domain of f(x)=sqrt(x^2-2x-15) is x = 5

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domain of f(x)=sqrt(x^2-2x-15)

domain

f (x) = x^{2} - 2 x - 15

x \leq - 3 or x \geq 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x \geq 5

The function domain

x \leq - 3 or x \geq 5

y = x^{2} - 2 x + 1

f (x) = - \frac{1}{3} cos (\frac{1}{3} x)

(x - 9)^{2}

x^{3} - 3 x + 3

y = \frac{1}{4 - 2}

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