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

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

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

inverse

- 3 (x - 1)^{2} + 2

- \frac{x - 2}{3} + 1, - - \frac{x - 2}{3} + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{x - 2}{3} + 1, - - \frac{x - 2}{3} + 1

f (x) = \frac{5 x - 2}{3 x + 1}

f (x) = ln (\frac{e ^{x}}{e ^{x} - 1})

f (x) = \frac{3 x - 1}{2 x + 1}

f (x) = ln (x^{2} - 4) + π

\frac{3 x - 4}{2 - x}

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