What is the inverse of f(x)=\sqrt[3]{5-x}+6 ?

The inverse of f(x)=\sqrt[3]{5-x}+6 is -x^3+18x^2-108x+221

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inverse of f(x)=\sqrt[3]{5-x}+6

inverse

f (x) = 3 5 - x + 6

- x^{3} + 18 x^{2} - 108 x + 221

Solution steps

y = 3 5 - x + 6

Replace

x

with

y

x = 3 5 - y + 6

Solve for

y, x = 3 5 - y + 6

- x^{3} + 18 x^{2} - 108 x + 221

\frac{3 x - 5}{x + 1}

f (x) = - 8 x - 4

y = e^{x} + 3

y = - 0.25 x + 20

g (x) = \frac{1}{2} x - 2

What is the inverse of f(x)=\sqrt[3]{5-x}+6 ?
The inverse of f(x)=\sqrt[3]{5-x}+6 is -x^3+18x^2-108x+221