What is the inverse of f(x)=-3x^2+6x+7 ?

The inverse of f(x)=-3x^2+6x+7 is -(-6+sqrt(-12x+120))/6 ,-(-6-sqrt(-12x+120))/6

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inverse of f(x)=-3x^2+6x+7

inverse

f (x) = - 3 x^{2} + 6 x + 7

- \frac{- 6 + - 12 x + 120}{6}, - \frac{- 6 - - 12 x + 120}{6}

Solution steps

y = - 3 x^{2} + 6 x + 7

Replace

x

with

y

x = - 3 y^{2} + 6 y + 7

Solve for

y, x = - 3 y^{2} + 6 y + 7

- \frac{- 6 + - 12 x + 120}{6}, - \frac{- 6 - - 12 x + 120}{6}

f (x) = - \frac{1}{2} (x - 2)^{3}

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

f (x) = (- 3 + 3)^{2} - 1

f (x) = \frac{3 x - 5}{6}

\frac{16}{x - 6}

What is the inverse of f(x)=-3x^2+6x+7 ?
The inverse of f(x)=-3x^2+6x+7 is -(-6+sqrt(-12x+120))/6 ,-(-6-sqrt(-12x+120))/6