What is the inverse of 5x^{1/3}-6 ?

The inverse of 5x^{1/3}-6 is (x^3)/(125)+(18x^2)/(125)+(108x)/(125)+216/125

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inverse of 5x^{1/3}-6

inverse

5 x^{\frac{1}{3}} - 6

\frac{x ^{3}}{125} + \frac{18 x ^{2}}{125} + \frac{108 x}{125} + \frac{216}{125}

Solution steps

y = 5 x^{\frac{1}{3}} - 6

Replace

x

with

y

x = 5 y^{\frac{1}{3}} - 6

Solve for

y, x = 5 y^{\frac{1}{3}} - 6

\frac{x ^{3}}{125} + \frac{18 x ^{2}}{125} + \frac{108 x}{125} + \frac{216}{125}

\frac{x ^{2} - 1}{x}

f (x) = - \frac{1}{5} x + 9

x - 3

\frac{x}{x}

f (x) = 7 - \frac{3}{x - 2}

What is the inverse of 5x^{1/3}-6 ?
The inverse of 5x^{1/3}-6 is (x^3)/(125)+(18x^2)/(125)+(108x)/(125)+216/125