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) = \frac{x - 4}{x + 2}

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

(- 4, 0), (4, 0)

\frac{5 + x}{1 - 5 x}

\frac{x ^{2} - 8 x + 12}{x ^{2} - 2 x - 24}

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