What is the domain of f(x)=ln(4000-x^2)+sin(x^{100}) ?

The domain of f(x)=ln(4000-x^2)+sin(x^{100}) is -20sqrt(10)<x<20sqrt(10)

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domain of f(x)=ln(4000-x^2)+sin(x^{100})

domain

f (x) = ln (4000 - x^{2}) + sin (x^{100})

- 2010 < x < 2010

Interval Notation

(- 2010, 2010)

Solution steps

Find positive values for logs:

- 2010 < x < 2010

The function domain

- 2010 < x < 2010

f (x) = 9

x^{4} - 10 x^{2} + 9

f (x) = \frac{1}{2 x ^{2} - 5 x - 12}

f (x) = 3 tan (x), - π \leq x \leq π

What is the domain of f(x)=ln(4000-x^2)+sin(x^{100}) ?
The domain of f(x)=ln(4000-x^2)+sin(x^{100}) is -20sqrt(10)<x<20sqrt(10)