What is the domain of f(x)=sqrt(x^2-7) ?

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

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

domain

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

x \leq - 7 or x \geq 7

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 7 or x \geq 7

The function domain

x \leq - 7 or x \geq 7

f (x) = \frac{2}{x - 6}

f (x) = \frac{3 x}{x + 2}

f (x) = \frac{1}{4} (x - 2)^{2}

f (x) = - x^{2} + 36

\frac{1 - x ^{2}}{x ^{2} - 9}

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