What is the domain of f(x)= 1/(\sqrt[4]{x^2-6)} ?

The domain of f(x)= 1/(\sqrt[4]{x^2-6)} is x sqrt(6)

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domain of f(x)= 1/(\sqrt[4]{x^2-6)}

domain

x < - 6 or x > 6

Interval Notation

(- \infty, - 6) \cup (6, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 6 or x \geq 6

Find undefined (singularity) points:

x = 6, x = - 6

Combine real regions and undefined points for final function domain

x < - 6 or x > 6

f (x) = ln (ln (ln (x)))

y = x 8 - x^{2}

f (x) = \frac{4 - 3 x}{2 x - 11}

2 e^{3 x} - 4

f (x) = \frac{4}{x - 4}

What is the domain of f(x)= 1/(\sqrt[4]{x^2-6)} ?
The domain of f(x)= 1/(\sqrt[4]{x^2-6)} is x<-sqrt(6)\lor x>sqrt(6)