What is the inverse of f(x)=x^2-6x+7 ?

The inverse of f(x)=x^2-6x+7 is 3+sqrt(x+2),3-sqrt(x+2)

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inverse of f(x)=x^2-6x+7

inverse

f (x) = x^{2} - 6 x + 7

3 + x + 2, 3 - x + 2

Solution steps

y = x^{2} - 6 x + 7

Replace

x

with

y

x = y^{2} - 6 y + 7

Solve for

y, x = y^{2} - 6 y + 7

3 + x + 2, 3 - x + 2

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

(2, 0), (0, 2)

ln (\frac{x - 8}{x - 4})

x e^{x}

y = 2 x + 1

What is the inverse of f(x)=x^2-6x+7 ?
The inverse of f(x)=x^2-6x+7 is 3+sqrt(x+2),3-sqrt(x+2)