What is the inverse of 1/2 (x-2)^2-3 ?

The inverse of 1/2 (x-2)^2-3 is sqrt(2x+6)+2,-sqrt(2x+6)+2

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inverse of 1/2 (x-2)^2-3

inverse

\frac{1}{2} (x - 2)^{2} - 3

2 x + 6 + 2, - 2 x + 6 + 2

Solution steps

y = \frac{1}{2} (x - 2)^{2} - 3

Replace

x

with

y

x = \frac{1}{2} (y - 2)^{2} - 3

Solve for

y, x = \frac{1}{2} (y - 2)^{2} - 3

2 x + 6 + 2, - 2 x + 6 + 2

3 x^{5} + 5 x^{3} - 2 x

(0, 1), (4.5, 2)

x^{2} ln (\frac{x}{6})

f (x) = x^{2} - 8 x + 12

f (x) = \frac{x}{x - 20}

What is the inverse of 1/2 (x-2)^2-3 ?
The inverse of 1/2 (x-2)^2-3 is sqrt(2x+6)+2,-sqrt(2x+6)+2