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

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

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

inverse

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

\frac{- 2 + 2 x}{2}, - \frac{2 x + 2}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 2 + 2 x}{2}, - \frac{2 x + 2}{2}

f (x) = 2 - ln (x^{2} + 1)

f (x) = 5 - 3 x

f (x) = 3 x

f (x) = 4 x + 14

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