What is the inverse of f(x)=-6x^2-24x-31 ?

The inverse of f(x)=-6x^2-24x-31 is -(24+sqrt(-24x-168))/(12),-(24-sqrt(-24x-168))/(12)

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inverse of f(x)=-6x^2-24x-31

inverse

f (x) = - 6 x^{2} - 24 x - 31

- \frac{24 + - 24 x - 168}{12}, - \frac{24 - - 24 x - 168}{12}

Solution steps

y = - 6 x^{2} - 24 x - 31

Replace

x

with

y

x = - 6 y^{2} - 24 y - 31

Solve for

y, x = - 6 y^{2} - 24 y - 31

- \frac{24 + - 24 x - 168}{12}, - \frac{24 - - 24 x - 168}{12}

What is the inverse of f(x)=-6x^2-24x-31 ?
The inverse of f(x)=-6x^2-24x-31 is -(24+sqrt(-24x-168))/(12),-(24-sqrt(-24x-168))/(12)