What is the inverse of f(x)=-x^2-3x+4 ?

The inverse of f(x)=-x^2-3x+4 is -(3+sqrt(-4x+25))/2 ,-(3-sqrt(-4x+25))/2

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inverse of f(x)=-x^2-3x+4

inverse

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

- \frac{3 + - 4 x + 25}{2}, - \frac{3 - - 4 x + 25}{2}

Solution steps

y = - x^{2} - 3 x + 4

Replace

x

with

y

x = - y^{2} - 3 y + 4

Solve for

y, x = - y^{2} - 3 y + 4

- \frac{3 + - 4 x + 25}{2}, - \frac{3 - - 4 x + 25}{2}

What is the inverse of f(x)=-x^2-3x+4 ?
The inverse of f(x)=-x^2-3x+4 is -(3+sqrt(-4x+25))/2 ,-(3-sqrt(-4x+25))/2