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

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

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

inverse

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

2 - - x + 4, - x + 4 + 2

Solution steps

y = - x^{2} + 4 x

Replace

x

with

y

x = - y^{2} + 4 y

Solve for

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

2 - - x + 4, - x + 4 + 2

y = - x + 1

f (x) = \frac{5}{3 x + 2}

f (x) = 0.25 e^{- 3 x}

f (x) = lo g_{2} (x) - lo g_{2} (12)

f (x) = \frac{9 x - 3}{9 x + 7}

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