What is the inverse of f(x)=-3x^2-12x+1 ?

The inverse of f(x)=-3x^2-12x+1 is -(12+sqrt(-12x+156))/6 ,-(12-sqrt(-12x+156))/6

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inverse of f(x)=-3x^2-12x+1

inverse

f (x) = - 3 x^{2} - 12 x + 1

- \frac{12 + - 12 x + 156}{6}, - \frac{12 - - 12 x + 156}{6}

Solution steps

y = - 3 x^{2} - 12 x + 1

Replace

x

with

y

x = - 3 y^{2} - 12 y + 1

Solve for

y, x = - 3 y^{2} - 12 y + 1

- \frac{12 + - 12 x + 156}{6}, - \frac{12 - - 12 x + 156}{6}

What is the inverse of f(x)=-3x^2-12x+1 ?
The inverse of f(x)=-3x^2-12x+1 is -(12+sqrt(-12x+156))/6 ,-(12-sqrt(-12x+156))/6