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

The inverse of f(x)=\sqrt[3]{3x-1}+2 is (x^3-6x^2+12x-7)/3

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inverse of f(x)=\sqrt[3]{3x-1}+2

inverse

\frac{x ^{3} - 6 x ^{2} + 12 x - 7}{3}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} - 6 x ^{2} + 12 x - 7}{3}

e^{2}

f (x) = \frac{1}{6} x + 3

f (x) = \frac{7 x}{x - 2}

+ z (\frac{z + 1}{z ^{2} + z - 6})

f (x) = 4 x^{2} + 32 x + 55

What is the inverse of f(x)=\sqrt[3]{3x-1}+2 ?
The inverse of f(x)=\sqrt[3]{3x-1}+2 is (x^3-6x^2+12x-7)/3