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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

g (x) = x - 2

(2, 0), (0, - 3)

\frac{x ^{2} - 1}{x}

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

x^{2} + 1, x \geq 0

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