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

f (x) = (8 e^{x})^{\frac{1}{5}}

f (x) = 3 x - 21

f (x) = \frac{x - 12}{2 x + 1}

f (x) = x^{2} + 12 x - 7

\frac{x + 9}{7 - 4 x}

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