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

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

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

inverse

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

1 + x - 1, 1 - x - 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 + x - 1, 1 - x - 1

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

f (x) = x^{2} + \frac{1}{x}

(- 7, - 4), (3, - 2)

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

f (x) = - 10 + 8 x

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