What is the inverse of f(x)=x^2-11x+24 ?

The inverse of f(x)=x^2-11x+24 is (11+sqrt(4x+25))/2 ,(11-sqrt(4x+25))/2

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inverse of f(x)=x^2-11x+24

inverse

f (x) = x^{2} - 11 x + 24

\frac{11 + 4 x + 25}{2}, \frac{11 - 4 x + 25}{2}

Solution steps

y = x^{2} - 11 x + 24

Replace

x

with

y

x = y^{2} - 11 y + 24

Solve for

y, x = y^{2} - 11 y + 24

\frac{11 + 4 x + 25}{2}, \frac{11 - 4 x + 25}{2}

What is the inverse of f(x)=x^2-11x+24 ?
The inverse of f(x)=x^2-11x+24 is (11+sqrt(4x+25))/2 ,(11-sqrt(4x+25))/2