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

The inverse of f(x)=x^{1/5}-5 is x^5+25x^4+250x^3+1250x^2+3125x+3125

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

inverse

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

x^{5} + 25 x^{4} + 250 x^{3} + 1250 x^{2} + 3125 x + 3125

Solution steps

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

Replace

x

with

y

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

Solve for

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

x^{5} + 25 x^{4} + 250 x^{3} + 1250 x^{2} + 3125 x + 3125

What is the inverse of f(x)=x^{1/5}-5 ?
The inverse of f(x)=x^{1/5}-5 is x^5+25x^4+250x^3+1250x^2+3125x+3125