What is the inverse of f(x)=-x^2+20x-64 ?

The inverse of f(x)=-x^2+20x-64 is 10-sqrt(-x+36),sqrt(-x+36)+10

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inverse of f(x)=-x^2+20x-64

inverse

f (x) = - x^{2} + 20 x - 64

10 - - x + 36, - x + 36 + 10

Solution steps

y = - x^{2} + 20 x - 64

Replace

x

with

y

x = - y^{2} + 20 y - 64

Solve for

y, x = - y^{2} + 20 y - 64

10 - - x + 36, - x + 36 + 10

\frac{3}{x - 2} - 1

f (x) = \frac{7 x + 8}{2 x - 7}

\frac{3}{x - 2} + 2

f (x) = 3 + x

\frac{2 x}{3} - 17

What is the inverse of f(x)=-x^2+20x-64 ?
The inverse of f(x)=-x^2+20x-64 is 10-sqrt(-x+36),sqrt(-x+36)+10