What is the domain of sqrt(x^2-4x-45) ?

The domain of sqrt(x^2-4x-45) is x = 9

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domain of sqrt(x^2-4x-45)

domain

x^{2} - 4 x - 45

x \leq - 5 or x \geq 9

Interval Notation

(- \infty, - 5] \cup [9, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 9

The function domain

x \leq - 5 or x \geq 9

f (x) = 5 - 4 x

2 y + 8 x = 2

5 x - 4 y = - 3, (5, 3)

f (x) = 6 x^{5} + 4 x

\frac{x - 2}{x}

What is the domain of sqrt(x^2-4x-45) ?
The domain of sqrt(x^2-4x-45) is x<=-5\lor x>= 9