What is the inverse of f(x)=-(x-4)^2+6 ?

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

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inverse of f(x)=-(x-4)^2+6

inverse

f (x) = - (x - 4)^{2} + 6

- x + 6 + 4, - - x + 6 + 4

Solution steps

y = - (x - 4)^{2} + 6

Replace

x

with

y

x = - (y - 4)^{2} + 6

Solve for

y, x = - (y - 4)^{2} + 6

- x + 6 + 4, - - x + 6 + 4

y = 2 x + 8

y = - cot (2 x - \frac{π}{4})

(x - 4)^{3} + 6

\frac{2 x ^{2} - 3}{5}

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

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