What is the inverse of (x^3-27)/(x-3) ?

The inverse of (x^3-27)/(x-3) is (-3+sqrt(4x-27))/2 ,(-3-sqrt(4x-27))/2

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inverse of (x^3-27)/(x-3)

inverse

\frac{x ^{3} - 27}{x - 3}

\frac{- 3 + 4 x - 27}{2}, \frac{- 3 - 4 x - 27}{2}

Solution steps

y = \frac{x ^{3} - 27}{x - 3}

Replace

x

with

y

x = \frac{y ^{3} - 27}{y - 3}

Solve for

y, x = \frac{y ^{3} - 27}{y - 3}

\frac{- 3 + 4 x - 27}{2}, \frac{- 3 - 4 x - 27}{2}

y = - 3 x - 4

f (x) = \frac{x}{2} + 6

1.8 x + 32

y = \frac{3}{x}

What is the inverse of (x^3-27)/(x-3) ?
The inverse of (x^3-27)/(x-3) is (-3+sqrt(4x-27))/2 ,(-3-sqrt(4x-27))/2