What is the inverse of f(x)=2(x-1)^3+5 ?

The inverse of f(x)=2(x-1)^3+5 is \sqrt[3]{(x-5)/2}+1

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inverse of f(x)=2(x-1)^3+5

inverse

f (x) = 2 (x - 1)^{3} + 5

Solution steps

y = 2 (x - 1)^{3} + 5

Replace

x

with

y

x = 2 (y - 1)^{3} + 5

Solve for

y, x = 2 (y - 1)^{3} + 5

\frac{4 - x}{x ^{2} - 9}

2 x^{2} - 16 x + 30

f (x) = \frac{- 4}{x}

f (x) = 2 \cdot x^{3} + 5 \cdot x^{2} - 10 \cdot x + 1

f (x) = - x^{2} + 9 x + 10

What is the inverse of f(x)=2(x-1)^3+5 ?
The inverse of f(x)=2(x-1)^3+5 is \sqrt[3]{(x-5)/2}+1