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+28)/2

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

inverse

\frac{- x ^{3} + 9 x ^{2} - 27 x + 28}{2}

Solution steps

Replace

x

with

y

Solve for

\frac{- x ^{3} + 9 x ^{2} - 27 x + 28}{2}

f (x) = \frac{2 x ^{2} + 3}{5}

2 \cdot 3^{x} + 9^{x} + 3

p (x) = x^{2} + 1

f (x) = \frac{x ^{2} + 3}{2 x - 5}

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+28)/2