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

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

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inverse of f(x)=x^2-2x-1

inverse

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

1 + x + 2, 1 - x + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 + x + 2, 1 - x + 2

f (x) = x^{2} - 2 x - 7

3 lo g_{10} (2 x - 2) + 4

f (x) = 4 x + 10

f (x) = 4 e^{x}

\frac{8}{3 x + 1}

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