What is the inverse of f(x)=x^2-4x+6 ?

The inverse of f(x)=x^2-4x+6 is 2+sqrt(x-2),2-sqrt(x-2)

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inverse of f(x)=x^2-4x+6

inverse

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

2 + x - 2, 2 - x - 2

Solution steps

y = x^{2} - 4 x + 6

Replace

x

with

y

x = y^{2} - 4 y + 6

Solve for

y, x = y^{2} - 4 y + 6

2 + x - 2, 2 - x - 2

f (x) = (3.1)

f (x) = \frac{5}{4} ln (4 x - \frac{1}{3}) + \frac{3}{4}

5 x^{2} + 2

x = 100 (4 - 4 y)

3 x + \frac{5}{4}

What is the inverse of f(x)=x^2-4x+6 ?
The inverse of f(x)=x^2-4x+6 is 2+sqrt(x-2),2-sqrt(x-2)