What is the inverse of f(x)=3x^2+2x+2 ?

The inverse of f(x)=3x^2+2x+2 is (-1+sqrt(3x-5))/3 ,-(sqrt(3x-5)+1)/3

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inverse of f(x)=3x^2+2x+2

inverse

f (x) = 3 x^{2} + 2 x + 2

\frac{- 1 + 3 x - 5}{3}, - \frac{3 x - 5 + 1}{3}

Solution steps

y = 3 x^{2} + 2 x + 2

Replace

x

with

y

x = 3 y^{2} + 2 y + 2

Solve for

y, x = 3 y^{2} + 2 y + 2

\frac{- 1 + 3 x - 5}{3}, - \frac{3 x - 5 + 1}{3}

f (x) = 11

f (x) = \frac{13}{3 x - 7}

f (x) = x + a

y = e^{x - 2}

f (x) = - 6 x - 9

What is the inverse of f(x)=3x^2+2x+2 ?
The inverse of f(x)=3x^2+2x+2 is (-1+sqrt(3x-5))/3 ,-(sqrt(3x-5)+1)/3