What is the domain of f(x)=sqrt(x)sqrt(4-x^2) ?

The domain of f(x)=sqrt(x)sqrt(4-x^2) is 0<= x<= 2

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domain of f(x)=sqrt(x)sqrt(4-x^2)

domain

f (x) = x 4 - x^{2}

0 \leq x \leq 2

Interval Notation

[0, 2]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 2

The function domain

0 \leq x \leq 2

g (x) = \frac{6 x ^{2} + x - 5}{3 x ^{2} - 7 x - 20}

y = ∣ x ∣ - x

800 - 2 x

3 (9 - x^{2}) - 1

\frac{x}{3 - ∣ x ^{2} - 1 ∣}

What is the domain of f(x)=sqrt(x)sqrt(4-x^2) ?
The domain of f(x)=sqrt(x)sqrt(4-x^2) is 0<= x<= 2