What is the inverse of f(x)=x^2-9x+20 ?

The inverse of f(x)=x^2-9x+20 is (9+sqrt(4x+1))/2 ,(9-sqrt(4x+1))/2

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inverse of f(x)=x^2-9x+20

inverse

f (x) = x^{2} - 9 x + 20

\frac{9 + 4 x + 1}{2}, \frac{9 - 4 x + 1}{2}

Solution steps

y = x^{2} - 9 x + 20

Replace

x

with

y

x = y^{2} - 9 y + 20

Solve for

y, x = y^{2} - 9 y + 20

\frac{9 + 4 x + 1}{2}, \frac{9 - 4 x + 1}{2}

What is the inverse of f(x)=x^2-9x+20 ?
The inverse of f(x)=x^2-9x+20 is (9+sqrt(4x+1))/2 ,(9-sqrt(4x+1))/2