What is the inverse of f(x)=2(x-3)^2-6 ?

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

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inverse of f(x)=2(x-3)^2-6

inverse

f (x) = 2 (x - 3)^{2} - 6

\frac{x + 6}{2} + 3, - \frac{x + 6}{2} + 3

Solution steps

y = 2 (x - 3)^{2} - 6

Replace

x

with

y

x = 2 (y - 3)^{2} - 6

Solve for

y, x = 2 (y - 3)^{2} - 6

\frac{x + 6}{2} + 3, - \frac{x + 6}{2} + 3

y = 4 x - 1

y = 4 x - 4

\frac{- 4 x ^{2} + 11}{5}

3^{x} - 1

f (x) = - 0.941 x^{2} + 52.38 x + 1

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