What is the inverse of f(x)=x^2-2x+6 ?

The inverse of f(x)=x^2-2x+6 is 1+sqrt(x-5),1-sqrt(x-5)

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inverse of f(x)=x^2-2x+6

inverse

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

1 + x - 5, 1 - x - 5

Solution steps

y = x^{2} - 2 x + 6

Replace

x

with

y

x = y^{2} - 2 y + 6

Solve for

y, x = y^{2} - 2 y + 6

1 + x - 5, 1 - x - 5

(5, - 8), (2, 7)

f (x) = ln (e^{x} - 2)

y = - \frac{2}{3} x - 5

f (x) = 2 x + 10

f (x) = \frac{3 x + 5}{x + 8}

What is the inverse of f(x)=x^2-2x+6 ?
The inverse of f(x)=x^2-2x+6 is 1+sqrt(x-5),1-sqrt(x-5)