What is the inverse of f(x)=-x^2+5x-4 ?

The inverse of f(x)=-x^2+5x-4 is -(-5+sqrt(-4x+9))/2 ,-(-5-sqrt(-4x+9))/2

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inverse of f(x)=-x^2+5x-4

inverse

f (x) = - x^{2} + 5 x - 4

- \frac{- 5 + - 4 x + 9}{2}, - \frac{- 5 - - 4 x + 9}{2}

Solution steps

y = - x^{2} + 5 x - 4

Replace

x

with

y

x = - y^{2} + 5 y - 4

Solve for

y, x = - y^{2} + 5 y - 4

- \frac{- 5 + - 4 x + 9}{2}, - \frac{- 5 - - 4 x + 9}{2}

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

16

f (x) = \frac{3 x - 1}{x - 2}

f (x) = (4 x)^{\frac{5}{3}}

\frac{2}{s ^{2}}

What is the inverse of f(x)=-x^2+5x-4 ?
The inverse of f(x)=-x^2+5x-4 is -(-5+sqrt(-4x+9))/2 ,-(-5-sqrt(-4x+9))/2