What is the inverse of f(x)=\sqrt[3]{x-1}+3 ?

The inverse of f(x)=\sqrt[3]{x-1}+3 is x^3-9x^2+27x-26

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inverse of f(x)=\sqrt[3]{x-1}+3

inverse

x^{3} - 9 x^{2} + 27 x - 26

Solution steps

Replace

x

with

y

Solve for

x^{3} - 9 x^{2} + 27 x - 26

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

f (x) = (e^{a r c t a n (1 + l n (x))} - 1)

1 - x

f (x) = 3^{(x - 2)}

What is the inverse of f(x)=\sqrt[3]{x-1}+3 ?
The inverse of f(x)=\sqrt[3]{x-1}+3 is x^3-9x^2+27x-26