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

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

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

inverse

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

2 + y + 2, 2 - y + 2

Solution steps

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

Replace

y

with

x

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

Solve for

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

2 + y + 2, 2 - y + 2

5 x^{3} + 1

f (x) = \frac{2 x + 4}{3 + x}

y = lo g_{2} (x - 1)

f (x) = x^{2} - 7, x \leq 0

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