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

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

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domain of f(x)=sqrt(4-x|x|)

domain

f (x) = 4 - x ∣ x ∣

x \leq 2

Interval Notation

(- \infty, 2]

Solution steps

Find non-negative values for radicals:

x \leq 2

The function domain

x \leq 2

f (x) = - x^{2} + 11

f (x) = - x^{2} + 12

h (t) = \frac{4 - t ^{2}}{2 - t}

f (x) = \frac{4 x + 6}{x + 2}

f (x) = x^{3} + 4 x^{2} + 2 x + 5

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