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Popular >

domain of arccos((2arcsin(1/(4x^2-1)))/pi)

Solution

domain

arccos (\frac{2 arcsin ( \frac{1}{4 x ^{2} - 1} )}{π})

Solution

x \leq - \frac{1}{2} or x = 0 or x \geq \frac{1}{2}

+1

Interval Notation

(- \infty, - \frac{1}{2}] \cup x = 0 \cup [\frac{1}{2}, \infty)

Solution steps

Find known functions domain restrictions:

x \leq - \frac{1}{2} or x = 0 or x \geq \frac{1}{2}

Find undefined (singularity) points:

x = \frac{1}{2}, x = - \frac{1}{2}

Combine real regions and undefined points for final function domain

x \leq - \frac{1}{2} or x = 0 or x \geq \frac{1}{2}

Popular Examples

domain of f(x)=84x^2-x^3 domain

f (x) = 84 x^{2} - x^{3}

domain of (8/(x+6))/(7/x)domain

\frac{\frac{8}{x + 6}}{\frac{7}{x}}

domain of f(x)= x/(4x-9)domain

f (x) = \frac{x}{4 x - 9}

domain of y=(x^3+2)/(x+1)domain

y = \frac{x ^{3} + 2}{x + 1}

domain of f(x)=-9x(x-5)(x-6)domain

f (x) = - 9 x (x - 5) (x - 6)

Frequently Asked Questions (FAQ)

What is the domain of arccos((2arcsin(1/(4x^2-1)))/pi) ?
The domain of arccos((2arcsin(1/(4x^2-1)))/pi) is x<=-1/(sqrt(2))\lor x=0\lor x>= 1/(sqrt(2))