What is the domain of f(x)=(9-x^2)^{3/2} ?

The domain of f(x)=(9-x^2)^{3/2} is -3<= x<= 3

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domain of f(x)=(9-x^2)^{3/2}

domain

f (x) = (9 - x^{2})^{\frac{3}{2}}

- 3 \leq x \leq 3

Interval Notation

[- 3, 3]

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq 3

The function domain

- 3 \leq x \leq 3

f (x) = x^{3} - 27 x + 10

(53) (5 - 8)

f (x) = - \frac{1}{5} x

(- 1.8) (- 9.6)

7 sin (4 (t + 7)) - 8

What is the domain of f(x)=(9-x^2)^{3/2} ?
The domain of f(x)=(9-x^2)^{3/2} is -3<= x<= 3