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

The inverse of f(x)= 1/2 \sqrt[3]{x-3}+5 is 8x^3-120x^2+600x-997

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

inverse

8 x^{3} - 120 x^{2} + 600 x - 997

Solution steps

y = \frac{1}{2} 3 x - 3 + 5

Replace

x

with

y

x = \frac{1}{2} 3 y - 3 + 5

Solve for

y, x = \frac{1}{2} 3 y - 3 + 5

8 x^{3} - 120 x^{2} + 600 x - 997

What is the inverse of f(x)= 1/2 \sqrt[3]{x-3}+5 ?
The inverse of f(x)= 1/2 \sqrt[3]{x-3}+5 is 8x^3-120x^2+600x-997