What is the inverse of f(x)=x^{1/5}-4 ?

The inverse of f(x)=x^{1/5}-4 is x^5+20x^4+160x^3+640x^2+1280x+1024

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inverse of f(x)=x^{1/5}-4

inverse

f (x) = x^{\frac{1}{5}} - 4

x^{5} + 20 x^{4} + 160 x^{3} + 640 x^{2} + 1280 x + 1024

Solution steps

y = x^{\frac{1}{5}} - 4

Replace

x

with

y

x = y^{\frac{1}{5}} - 4

Solve for

y, x = y^{\frac{1}{5}} - 4

x^{5} + 20 x^{4} + 160 x^{3} + 640 x^{2} + 1280 x + 1024

What is the inverse of f(x)=x^{1/5}-4 ?
The inverse of f(x)=x^{1/5}-4 is x^5+20x^4+160x^3+640x^2+1280x+1024