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

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

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

inverse

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

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

f (x) = 2 x^{2} - 8 x

f (x) = \frac{2 x}{x ^{2} - 1}

f (x) = x^{4} - 8 x^{3} + 8 x^{2} + 23 x + 6

5 x - 35

a x^{2}

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