What is the inverse of f(x)=-x^2-5x-25 ?

The inverse of f(x)=-x^2-5x-25 is -(5+sqrt(-4x-75))/2 ,-(5-sqrt(-4x-75))/2

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inverse of f(x)=-x^2-5x-25

inverse

f (x) = - x^{2} - 5 x - 25

- \frac{5 + - 4 x - 75}{2}, - \frac{5 - - 4 x - 75}{2}

Solution steps

y = - x^{2} - 5 x - 25

Replace

x

with

y

x = - y^{2} - 5 y - 25

Solve for

y, x = - y^{2} - 5 y - 25

- \frac{5 + - 4 x - 75}{2}, - \frac{5 - - 4 x - 75}{2}

What is the inverse of f(x)=-x^2-5x-25 ?
The inverse of f(x)=-x^2-5x-25 is -(5+sqrt(-4x-75))/2 ,-(5-sqrt(-4x-75))/2