What is the inverse of f(x)=x^2+11x ?

The inverse of f(x)=x^2+11x is (-11+sqrt(121+4x))/2 ,(-11-sqrt(121+4x))/2

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inverse of f(x)=x^2+11x

inverse

f (x) = x^{2} + 11 x

\frac{- 11 + 121 + 4 x}{2}, \frac{- 11 - 121 + 4 x}{2}

Solution steps

y = x^{2} + 11 x

Replace

x

with

y

x = y^{2} + 11 y

Solve for

y, x = y^{2} + 11 y

\frac{- 11 + 121 + 4 x}{2}, \frac{- 11 - 121 + 4 x}{2}

f (x) = \frac{1}{3} x - 1

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

y = 2 + 9 x + 3 x^{2} - x^{3}

3 9 (x - 1)

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

What is the inverse of f(x)=x^2+11x ?
The inverse of f(x)=x^2+11x is (-11+sqrt(121+4x))/2 ,(-11-sqrt(121+4x))/2