What is the inverse of 10x^{1/5}-2 ?

The inverse of 10x^{1/5}-2 is (x^5)/(100000)+(x^4)/(10000)+(x^3)/(2500)+(x^2)/(1250)+x/(1250)+1/3125

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inverse of 10x^{1/5}-2

inverse

10 x^{\frac{1}{5}} - 2

\frac{x ^{5}}{100000} + \frac{x ^{4}}{10000} + \frac{x ^{3}}{2500} + \frac{x ^{2}}{1250} + \frac{x}{1250} + \frac{1}{3125}

Solution steps

y = 10 x^{\frac{1}{5}} - 2

Replace

x

with

y

x = 10 y^{\frac{1}{5}} - 2

Solve for

y, x = 10 y^{\frac{1}{5}} - 2

\frac{x ^{5}}{100000} + \frac{x ^{4}}{10000} + \frac{x ^{3}}{2500} + \frac{x ^{2}}{1250} + \frac{x}{1250} + \frac{1}{3125}

What is the inverse of 10x^{1/5}-2 ?
The inverse of 10x^{1/5}-2 is (x^5)/(100000)+(x^4)/(10000)+(x^3)/(2500)+(x^2)/(1250)+x/(1250)+1/3125