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

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

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

inverse

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

2 + x + 2, 2 - x + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

2 + x + 2, 2 - x + 2

2 x - 3

2 x + 3 y = - 24

\frac{3}{x - 2}

3 (y - 1) = 0

y = - x + 4

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