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) = - x - 4

ln (\frac{2 - x}{2 + x})

y = 3

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

y = g (x) = 6 x^{3} + 7

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