What is the inverse of f(x)=\sqrt[3]{x-1}+4 ?

The inverse of f(x)=\sqrt[3]{x-1}+4 is x^3-12x^2+48x-63

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inverse of f(x)=\sqrt[3]{x-1}+4

inverse

x^{3} - 12 x^{2} + 48 x - 63

Solution steps

Replace

x

with

y

Solve for

x^{3} - 12 x^{2} + 48 x - 63

2 x + 1

15 x + 9 y = - 14

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

4 (x - 8)^{\frac{2}{3}} + 6

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

What is the inverse of f(x)=\sqrt[3]{x-1}+4 ?
The inverse of f(x)=\sqrt[3]{x-1}+4 is x^3-12x^2+48x-63