What is the inverse of f(x)=-x^2+10x-23 ?

The inverse of f(x)=-x^2+10x-23 is 5-sqrt(-x+2),sqrt(-x+2)+5

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inverse of f(x)=-x^2+10x-23

inverse

f (x) = - x^{2} + 10 x - 23

5 - - x + 2, - x + 2 + 5

Solution steps

y = - x^{2} + 10 x - 23

Replace

x

with

y

x = - y^{2} + 10 y - 23

Solve for

y, x = - y^{2} + 10 y - 23

5 - - x + 2, - x + 2 + 5

f (x) = \frac{x + 3}{x + 6}

5 sin (3 x + π)

f (x) = - 16 t^{2} + 1700

f (x) = \frac{6 x}{x ^{2} + 16}

\frac{x - 2}{x ^{2} - 4}

What is the inverse of f(x)=-x^2+10x-23 ?
The inverse of f(x)=-x^2+10x-23 is 5-sqrt(-x+2),sqrt(-x+2)+5