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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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