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

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

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inverse of f(x)=2(x-2)^3-3

inverse

f (x) = 2 (x - 2)^{3} - 3

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

Solution steps

y = 2 (x - 2)^{3} - 3

Replace

x

with

y

x = 2 (y - 2)^{3} - 3

Solve for

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

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

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

f (x) = 6 + e^{4 x}

\frac{- 1}{x ^{2}}

f (x) = \frac{1}{s}

f (x) = \frac{x}{6 x ^{2} + 1}

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