What is the domain of sin(x^{10000})-sqrt(10000-x^2) ?

The domain of sin(x^{10000})-sqrt(10000-x^2) is -100<= x<= 100

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domain of sin(x^{10000})-sqrt(10000-x^2)

domain

sin (x^{10000}) - 10000 - x^{2}

- 100 \leq x \leq 100

Interval Notation

[- 100, 100]

Solution steps

Find non-negative values for radicals:

- 100 \leq x \leq 100

The function domain

- 100 \leq x \leq 100

lo g_{10} (x^{2} + 1)

f (x) = \frac{x}{2 x - 1}

f (x) = \frac{4}{3 - x}

f (x) = ∣ - x ∣

What is the domain of sin(x^{10000})-sqrt(10000-x^2) ?
The domain of sin(x^{10000})-sqrt(10000-x^2) is -100<= x<= 100