Solve (1-(1-(1-x^2)^-1)^-1)^-1/2

Evaluate

\frac{( 1 - ( 1 - ( 1 - x ^{2} ) ^{- 1} ) ^{- 1} ) ^{- 1}}{2}

To find the roots of the expression,set the expression equal to 0

\frac{( 1 - ( 1 - ( 1 - x ^{2} ) ^{- 1} ) ^{- 1} ) ^{- 1}}{2} = 0

Find the domain

More Steps

\frac{( 1 - ( 1 - ( 1 - x ^{2} ) ^{- 1} ) ^{- 1} ) ^{- 1}}{2} = 0, x \in (- \infty, - 1) \cup (- 1, 1) \cup (1, + \infty)

Calculate

\frac{( 1 - ( 1 - ( 1 - x ^{2} ) ^{- 1} ) ^{- 1} ) ^{- 1}}{2} = 0

Rewrite the expression

More Steps

\frac{x ^{2}}{2} = 0

Simplify

x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0

Check if the solution is in the defined range

x = 0, x \in (- \infty, - 1) \cup (- 1, 1) \cup (1, + \infty)

Solution

x = 0

Simplify the expression