What is the domain of f(x)=sqrt(\sqrt{x^2-16)-3} ?

The domain of f(x)=sqrt(\sqrt{x^2-16)-3} is x = 5

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domain of f(x)=sqrt(\sqrt{x^2-16)-3}

domain

f (x) = x^{2} - 16 - 3

x \leq - 5 or x \geq 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 5

The function domain

x \leq - 5 or x \geq 5

f (x) = \frac{2 x - 3}{5}

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

f (x) = - 2 (x - 1)^{2} + 27 = 9 + y

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

\frac{cos ( 8 θ ) - cos ( 4 θ )}{2}

What is the domain of f(x)=sqrt(\sqrt{x^2-16)-3} ?
The domain of f(x)=sqrt(\sqrt{x^2-16)-3} is x<=-5\lor x>= 5