What is the inverse of f(x)=-x^{-2}+1 ?

The inverse of f(x)=-x^{-2}+1 is sqrt(-1/(x-1)),-sqrt(-1/(x-1))

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

inverse

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

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

Solution steps

y = - x^{- 2} + 1

Replace

x

with

y

x = - y^{- 2} + 1

Solve for

y, x = - y^{- 2} + 1

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

f (x) = 5 ln (x^{2} + 1) - 2

f (x) = y^{3} + 6

\frac{1}{2 x - 2}

f (x) = - x^{2} + 2 x + 5

f (x) = (x + 4)^{2} - 6

What is the inverse of f(x)=-x^{-2}+1 ?
The inverse of f(x)=-x^{-2}+1 is sqrt(-1/(x-1)),-sqrt(-1/(x-1))