What is the inverse of f(x)=10x^{1/3}-6 ?

The inverse of f(x)=10x^{1/3}-6 is (x^3)/(1000)+(9x^2)/(500)+(27x)/(250)+27/125

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inverse of f(x)=10x^{1/3}-6

inverse

f (x) = 10 x^{\frac{1}{3}} - 6

\frac{x ^{3}}{1000} + \frac{9 x ^{2}}{500} + \frac{27 x}{250} + \frac{27}{125}

Solution steps

y = 10 x^{\frac{1}{3}} - 6

Replace

x

with

y

x = 10 y^{\frac{1}{3}} - 6

Solve for

y, x = 10 y^{\frac{1}{3}} - 6

\frac{x ^{3}}{1000} + \frac{9 x ^{2}}{500} + \frac{27 x}{250} + \frac{27}{125}

f (x) = \frac{3 x - 1}{x + 4}

4 sin (2 x + 5) - 7

f (x) = \frac{5}{2 x - 6}

f (x) = 3 + 6 + 7 x

f (x) = 2 x - x

What is the inverse of f(x)=10x^{1/3}-6 ?
The inverse of f(x)=10x^{1/3}-6 is (x^3)/(1000)+(9x^2)/(500)+(27x)/(250)+27/125