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

The inverse of f(x)=5(x^{1/3}-6) is (x^3}{125}+(18x^2)/(25)+\frac{108x)/5+216

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inverse of f(x)=5(x^{1/3}-6)

inverse

f (x) = 5 (x^{\frac{1}{3}} - 6)

\frac{x ^{3}}{125} + \frac{18 x ^{2}}{25} + \frac{108 x}{5} + 216

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}}{25} + \frac{108 x}{5} + 216

What is the inverse of f(x)=5(x^{1/3}-6) ?
The inverse of f(x)=5(x^{1/3}-6) is (x^3}{125}+(18x^2)/(25)+\frac{108x)/5+216