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

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

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

inverse

f (x) = \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}

f (x) = x + 6 + 3

f (x) = ln (\frac{x}{18})

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

f (x) = 5^{x + 1}

\frac{- x}{x + 1}

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