What is the domain of f(x)=arccos(1-x^2) ?

The domain of f(x)=arccos(1-x^2) is -sqrt(2)<= x<= sqrt(2)

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domain of f(x)=arccos(1-x^2)

domain

f (x) = arccos (1 - x^{2})

- 2 \leq x \leq 2

Interval Notation

[- 2, 2]

Solution steps

Find known functions domain restrictions:

- 2 \leq x \leq 2

The function domain

- 2 \leq x \leq 2

f (x) = - e^{- x} + 1

f (x) = \frac{- 1}{4 x \frac{3}{2}}

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

\frac{x ^{2} - 3}{x ^{2}}

f (x) = 5 - lo g_{2} (3 x - 4)

What is the domain of f(x)=arccos(1-x^2) ?
The domain of f(x)=arccos(1-x^2) is -sqrt(2)<= x<= sqrt(2)