What is the inverse of (2x^2-12x+17)/(x^2-8x+16) ?

The inverse of (2x^2-12x+17)/(x^2-8x+16) is (4x-6+sqrt(x+2))/(x-2),(4x-6-sqrt(x+2))/(x-2)

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inverse of (2x^2-12x+17)/(x^2-8x+16)

inverse

\frac{2 x ^{2} - 12 x + 17}{x ^{2} - 8 x + 16}

\frac{4 x - 6 + x + 2}{x - 2}, \frac{4 x - 6 - x + 2}{x - 2}

Solution steps

y = \frac{2 x ^{2} - 12 x + 17}{x ^{2} - 8 x + 16}

Replace

x

with

y

x = \frac{2 y ^{2} - 12 y + 17}{y ^{2} - 8 y + 16}

Solve for

y, x = \frac{2 y ^{2} - 12 y + 17}{y ^{2} - 8 y + 16}

\frac{4 x - 6 + x + 2}{x - 2}, \frac{4 x - 6 - x + 2}{x - 2}

What is the inverse of (2x^2-12x+17)/(x^2-8x+16) ?
The inverse of (2x^2-12x+17)/(x^2-8x+16) is (4x-6+sqrt(x+2))/(x-2),(4x-6-sqrt(x+2))/(x-2)