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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = \frac{x ^{2}}{2} - 2 x + 1

f (x) = \frac{2 x}{3 x - 4}

f (x) = 5 + 3 x

f (x) = 1 - \frac{1}{4} x

f (x) = 2 - 3 x

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