What is the inverse of f(x)=-2(x-3)^2+4 ?

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

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inverse of f(x)=-2(x-3)^2+4

inverse

f (x) = - 2 (x - 3)^{2} + 4

- \frac{x - 4}{2} + 3, - - \frac{x - 4}{2} + 3

Solution steps

y = - 2 (x - 3)^{2} + 4

Replace

x

with

y

x = - 2 (y - 3)^{2} + 4

Solve for

y, x = - 2 (y - 3)^{2} + 4

- \frac{x - 4}{2} + 3, - - \frac{x - 4}{2} + 3

f (x) = 240 - 2 x + 2 x^{2} + 1200

f (x) = p (t) = 6 t + 8

arcsinh (x)

g (x) = x - 1

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