What is the domain of f(x)=sqrt(2|x|+3-x^2) ?

The domain of f(x)=sqrt(2|x|+3-x^2) is -3<= x<= 3

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domain of f(x)=sqrt(2|x|+3-x^2)

domain

f (x) = 2 ∣ x ∣ + 3 - x^{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

x cos (2 x)

f (x) = - 5 x + 45

f (x) = \frac{4 x + 7}{4 x + 8}

\frac{( 1 - ln ( 2 x ) )}{x}

f (x) = 5 x^{2} - 48 x + 27

What is the domain of f(x)=sqrt(2|x|+3-x^2) ?
The domain of f(x)=sqrt(2|x|+3-x^2) is -3<= x<= 3