What is the inverse of f(x)=-1+sqrt(5-4x-x^2) ?

The inverse of f(x)=-1+sqrt(5-4x-x^2) is -2-sqrt(-x^2-2x+8),-2+sqrt(-x^2-2x+8)

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inverse of f(x)=-1+sqrt(5-4x-x^2)

inverse

f (x) = - 1 + 5 - 4 x - x^{2}

- 2 - - x^{2} - 2 x + 8, - 2 + - x^{2} - 2 x + 8

Solution steps

y = - 1 + 5 - 4 x - x^{2}

Replace

x

with

y

x = - 1 + 5 - 4 y - y^{2}

Solve for

y, x = - 1 + 5 - 4 y - y^{2}

- 2 - - x^{2} - 2 x + 8, - 2 + - x^{2} - 2 x + 8

What is the inverse of f(x)=-1+sqrt(5-4x-x^2) ?
The inverse of f(x)=-1+sqrt(5-4x-x^2) is -2-sqrt(-x^2-2x+8),-2+sqrt(-x^2-2x+8)