What is the inverse of f(x)=x^2-13x+55 ?

The inverse of f(x)=x^2-13x+55 is (13+sqrt(4x-51))/2 ,(13-sqrt(4x-51))/2

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inverse of f(x)=x^2-13x+55

inverse

f (x) = x^{2} - 13 x + 55

\frac{13 + 4 x - 51}{2}, \frac{13 - 4 x - 51}{2}

Solution steps

y = x^{2} - 13 x + 55

Replace

x

with

y

x = y^{2} - 13 y + 55

Solve for

y, x = y^{2} - 13 y + 55

\frac{13 + 4 x - 51}{2}, \frac{13 - 4 x - 51}{2}

What is the inverse of f(x)=x^2-13x+55 ?
The inverse of f(x)=x^2-13x+55 is (13+sqrt(4x-51))/2 ,(13-sqrt(4x-51))/2