What is the inverse of f(x)=\sqrt[5]{x}-3 ?

The inverse of f(x)=\sqrt[5]{x}-3 is x^5+15x^4+90x^3+270x^2+405x+243

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inverse of f(x)=\sqrt[5]{x}-3

inverse

x^{5} + 15 x^{4} + 90 x^{3} + 270 x^{2} + 405 x + 243

Solution steps

Replace

x

with

y

Solve for

x^{5} + 15 x^{4} + 90 x^{3} + 270 x^{2} + 405 x + 243

f (x) = \frac{( - 3 x + 2 )}{( 4 x - 1 )}

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

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

y = x^{2} + 1, x \geq 0

7 x - 1

What is the inverse of f(x)=\sqrt[5]{x}-3 ?
The inverse of f(x)=\sqrt[5]{x}-3 is x^5+15x^4+90x^3+270x^2+405x+243