What is the domain of f(x)=arcsin((1-x^2)/(1+x^2)) ?

The domain of f(x)=arcsin((1-x^2)/(1+x^2)) is -infinity <x<infinity

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domain of f(x)=arcsin((1-x^2)/(1+x^2))

domain

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

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find known functions domain restrictions:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = 4 + 2^{1 - 2 x}

- x^{2} - x + 2

y = \frac{x - 2}{x + 3}

f (x) = \frac{2}{x} - 3

\frac{2 x + 5}{x + 2}

What is the domain of f(x)=arcsin((1-x^2)/(1+x^2)) ?
The domain of f(x)=arcsin((1-x^2)/(1+x^2)) is -infinity <x<infinity