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

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

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

domain

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

- 2 \leq x \leq 2

Interval Notation

[- 2, 2]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

The function domain

- 2 \leq x \leq 2

2 x + 3 y = 5, (- \frac{1}{2}, \frac{5}{3})

(- 2, 3), (3, 0)

y = 0.5 x^{2} - 2 x - 2

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

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

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