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

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

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

inverse

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

2 - - x + 9, - x + 9 + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

2 - - x + 9, - x + 9 + 2

49 + 2.3 (x - 60)

f (x) = \frac{2 x - 1}{5 x - 1}

g (x) = \frac{0}{2 ^{x + 1}}

f (x) = 6^{3 + 2 x}

y = - 0.1 x + 14

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