What is the inverse of f(x)=x^2-2x+4 ?

The inverse of f(x)=x^2-2x+4 is 1+sqrt(x-3),1-sqrt(x-3)

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inverse of f(x)=x^2-2x+4

inverse

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

1 + x - 3, 1 - x - 3

Solution steps

y = x^{2} - 2 x + 4

Replace

x

with

y

x = y^{2} - 2 y + 4

Solve for

y, x = y^{2} - 2 y + 4

1 + x - 3, 1 - x - 3

f (x) = \frac{1}{10} x - \frac{7}{10}

f (x) = \frac{x + 5}{x - 4}

f (x) = x + 1 - 1

f (x) = x^{2} + 2, x < 0

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

What is the inverse of f(x)=x^2-2x+4 ?
The inverse of f(x)=x^2-2x+4 is 1+sqrt(x-3),1-sqrt(x-3)