What is the domain of (x^2-4)^{3/4} ?

The domain of (x^2-4)^{3/4} is x = 2

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domain of (x^2-4)^{3/4}

domain

(x^{2} - 4)^{\frac{3}{4}}

x \leq - 2 or x \geq 2

Interval Notation

(- \infty, - 2] \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

The function domain

x \leq - 2 or x \geq 2

- 2 (1 + 10 x)

y = 2 x + 6 - 4

f (x, y) = x^{2} y^{2} - 2 x^{2} - 2 y^{2} = 0

y = lo g_{7} (x)

y = \frac{x}{x - 5}

What is the domain of (x^2-4)^{3/4} ?
The domain of (x^2-4)^{3/4} is x<=-2\lor x>= 2