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{1}{11} x - \frac{6}{11}

b^{2 x}

(x^{2} - 4)^{\frac{5}{3}}

f (x) = \frac{4}{3} x - 16

f (x) = e^{x} - 9

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