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

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

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

inverse

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

Solution steps

Replace

x

with

y

Solve for

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

f (x) = \frac{x ^{2} + 1}{x}

f (x) = - 7 x + 7

f (x) = - 7 x + 5

f (x) = - 5 - 4 x

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

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