What is the domain of sqrt(x^2-5x-14) ?

The domain of sqrt(x^2-5x-14) is x = 7

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domain of sqrt(x^2-5x-14)

domain

x^{2} - 5 x - 14

x \leq - 2 or x \geq 7

Interval Notation

(- \infty, - 2] \cup [7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 7

The function domain

x \leq - 2 or x \geq 7

f (x) = \frac{x - 3}{x - 7}

2 x^{2} - 5 x + 3

\frac{x}{x ^{2} + 4 x}

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

\frac{1}{x - 3}

What is the domain of sqrt(x^2-5x-14) ?
The domain of sqrt(x^2-5x-14) is x<=-2\lor x>= 7