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

The inverse of (2+(x-3)^2)/((x-3)^2) is (6x-6+sqrt(8x-8))/(2(x-1)),(6x-6-sqrt(8x-8))/(2(x-1))

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

inverse

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

\frac{6 x - 6 + 8 x - 8}{2 ( x - 1 )}, \frac{6 x - 6 - 8 x - 8}{2 ( x - 1 )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{6 x - 6 + 8 x - 8}{2 ( x - 1 )}, \frac{6 x - 6 - 8 x - 8}{2 ( x - 1 )}

What is the inverse of (2+(x-3)^2)/((x-3)^2) ?
The inverse of (2+(x-3)^2)/((x-3)^2) is (6x-6+sqrt(8x-8))/(2(x-1)),(6x-6-sqrt(8x-8))/(2(x-1))