What is the inverse of f(x)=x^2-6x+8 ?

The inverse of f(x)=x^2-6x+8 is 3+sqrt(x+1),3-sqrt(x+1)

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inverse of f(x)=x^2-6x+8

inverse

f (x) = x^{2} - 6 x + 8

3 + x + 1, 3 - x + 1

Solution steps

y = x^{2} - 6 x + 8

Replace

x

with

y

x = y^{2} - 6 y + 8

Solve for

y, x = y^{2} - 6 y + 8

3 + x + 1, 3 - x + 1

\frac{- x ^{2}}{x ^{2} + 4}

9 x^{2}

y = x + 2

f (x) = \frac{x ^{2} - x + 1}{x ^{3} + 1}

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

What is the inverse of f(x)=x^2-6x+8 ?
The inverse of f(x)=x^2-6x+8 is 3+sqrt(x+1),3-sqrt(x+1)