What is the inverse of f(x)=3-\sqrt[3]{x+2} ?

The inverse of f(x)=3-\sqrt[3]{x+2} is -x^3+9x^2-27x+25

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inverse of f(x)=3-\sqrt[3]{x+2}

inverse

- x^{3} + 9 x^{2} - 27 x + 25

Solution steps

Replace

x

with

y

Solve for

- x^{3} + 9 x^{2} - 27 x + 25

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

y = - 3 x + \frac{6}{7}

f (x) = \frac{- 4 x - 4}{7 x + 8}

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

\frac{3}{2 + x ^{2}}

What is the inverse of f(x)=3-\sqrt[3]{x+2} ?
The inverse of f(x)=3-\sqrt[3]{x+2} is -x^3+9x^2-27x+25