What is the inverse of f(x)=x^2-6x+12 ?

The inverse of f(x)=x^2-6x+12 is 3+sqrt(x-3),3-sqrt(x-3)

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inverse of f(x)=x^2-6x+12

inverse

f (x) = x^{2} - 6 x + 12

3 + x - 3, 3 - x - 3

Solution steps

y = x^{2} - 6 x + 12

Replace

x

with

y

x = y^{2} - 6 y + 12

Solve for

y, x = y^{2} - 6 y + 12

3 + x - 3, 3 - x - 3

f (x) = x^{2} - 6 x + 17

f (x) = 2 + ln (3 + x)

y = \frac{1}{3} x + \frac{4}{3}

y = - 2 x + 4

4 (x - 7)^{2} + 3

What is the inverse of f(x)=x^2-6x+12 ?
The inverse of f(x)=x^2-6x+12 is 3+sqrt(x-3),3-sqrt(x-3)