What is the inverse of f(x)=6x-x^2-5 ?

The inverse of f(x)=6x-x^2-5 is 3-sqrt(-x+4),sqrt(-x+4)+3

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inverse of f(x)=6x-x^2-5

inverse

f (x) = 6 x - x^{2} - 5

3 - - x + 4, - x + 4 + 3

Solution steps

y = 6 x - x^{2} - 5

Replace

x

with

y

x = 6 y - y^{2} - 5

Solve for

y, x = 6 y - y^{2} - 5

3 - - x + 4, - x + 4 + 3

y = \frac{1}{2} (x - 1)^{2} - 2

cos (\frac{1}{4})

f (x) = 7 + (3 x - 6)

f (x) = x + e

\frac{5 x}{x}

What is the inverse of f(x)=6x-x^2-5 ?
The inverse of f(x)=6x-x^2-5 is 3-sqrt(-x+4),sqrt(-x+4)+3