What is the domain of 2/3 (x^2-1)^{3/2} ?

The domain of 2/3 (x^2-1)^{3/2} is x = 1

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domain of 2/3 (x^2-1)^{3/2}

domain

\frac{2}{3} (x^{2} - 1)^{\frac{3}{2}}

x \leq - 1 or x \geq 1

Interval Notation

(- \infty, - 1] \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 1

The function domain

x \leq - 1 or x \geq 1

g (x) = \frac{3 x}{x + 6}

f (x) = \frac{1}{( x ^{3} - 3 x ^{2} - 6 x - 8 )}

f (x) = 2 - 3 x

x^{2} - 15 x - 6

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

What is the domain of 2/3 (x^2-1)^{3/2} ?
The domain of 2/3 (x^2-1)^{3/2} is x<=-1\lor x>= 1