What is the inverse of (x^3-11x^2+24x)/(x^2-8x) ?

The inverse of (x^3-11x^2+24x)/(x^2-8x) is x+3

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inverse of (x^3-11x^2+24x)/(x^2-8x)

inverse

\frac{x ^{3} - 11 x ^{2} + 24 x}{x ^{2} - 8 x}

x + 3

Solution steps

y = \frac{x ^{3} - 11 x ^{2} + 24 x}{x ^{2} - 8 x}

Replace

x

with

y

x = \frac{y ^{3} - 11 y ^{2} + 24 y}{y ^{2} - 8 y}

Solve for

y, x = \frac{y ^{3} - 11 y ^{2} + 24 y}{y ^{2} - 8 y}

x + 3

What is the inverse of (x^3-11x^2+24x)/(x^2-8x) ?
The inverse of (x^3-11x^2+24x)/(x^2-8x) is x+3