What is the domain of f(x)=sqrt(x^2-2x-35) ?

The domain of f(x)=sqrt(x^2-2x-35) is x = 7

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domain of f(x)=sqrt(x^2-2x-35)

domain

f (x) = x^{2} - 2 x - 35

x \leq - 5 or x \geq 7

Interval Notation

(- \infty, - 5] \cup [7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 7

The function domain

x \leq - 5 or x \geq 7

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

f (x) = 7 (x - 4)^{2}

f (x) = \frac{t - 6}{4 t - 28}

(x + 3)^{2} + 6

x^{2} - 10000 x - 24000000

What is the domain of f(x)=sqrt(x^2-2x-35) ?
The domain of f(x)=sqrt(x^2-2x-35) is x<=-5\lor x>= 7