What is the inverse of f(x)=-3x^2-6x+1 ?

The inverse of f(x)=-3x^2-6x+1 is -(6+sqrt(-12x+48))/6 ,-(6-sqrt(-12x+48))/6

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inverse of f(x)=-3x^2-6x+1

inverse

f (x) = - 3 x^{2} - 6 x + 1

- \frac{6 + - 12 x + 48}{6}, - \frac{6 - - 12 x + 48}{6}

Solution steps

y = - 3 x^{2} - 6 x + 1

Replace

x

with

y

x = - 3 y^{2} - 6 y + 1

Solve for

y, x = - 3 y^{2} - 6 y + 1

- \frac{6 + - 12 x + 48}{6}, - \frac{6 - - 12 x + 48}{6}

x^{3} - 3 x

f (x) = 4 x - 12 y = 24

p (x) = 2 x - 1

f (x) = x - 3

f (x) = 8 x - 6

What is the inverse of f(x)=-3x^2-6x+1 ?
The inverse of f(x)=-3x^2-6x+1 is -(6+sqrt(-12x+48))/6 ,-(6-sqrt(-12x+48))/6