What is the inverse of f(x)=-3x^2+6x+2 ?

The inverse of f(x)=-3x^2+6x+2 is -(-6+sqrt(-12x+60))/6 ,-(-6-sqrt(-12x+60))/6

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inverse of f(x)=-3x^2+6x+2

inverse

f (x) = - 3 x^{2} + 6 x + 2

- \frac{- 6 + - 12 x + 60}{6}, - \frac{- 6 - - 12 x + 60}{6}

Solution steps

y = - 3 x^{2} + 6 x + 2

Replace

x

with

y

x = - 3 y^{2} + 6 y + 2

Solve for

y, x = - 3 y^{2} + 6 y + 2

- \frac{- 6 + - 12 x + 60}{6}, - \frac{- 6 - - 12 x + 60}{6}

f (x) = 1300 x + 5500

9 x + 5

f (x) = 6 - 2 x

f (x) = - 6 x + 12

f (x) = \frac{5}{8} - \frac{1}{4} x

What is the inverse of f(x)=-3x^2+6x+2 ?
The inverse of f(x)=-3x^2+6x+2 is -(-6+sqrt(-12x+60))/6 ,-(-6-sqrt(-12x+60))/6