What is the inverse of f(x)=2\sqrt[3]{x-3}+4 ?

The inverse of f(x)=2\sqrt[3]{x-3}+4 is 6x+(x^3)/8-(3x^2)/2-5

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inverse of f(x)=2\sqrt[3]{x-3}+4

inverse

6 x + \frac{x ^{3}}{8} - \frac{3 x ^{2}}{2} - 5

Solution steps

Replace

x

with

y

Solve for

6 x + \frac{x ^{3}}{8} - \frac{3 x ^{2}}{2} - 5

sinh (x)

f (x) = \frac{x - 5}{8}

f (x) = e^{x} - 5

2 x - 8

What is the inverse of f(x)=2\sqrt[3]{x-3}+4 ?
The inverse of f(x)=2\sqrt[3]{x-3}+4 is 6x+(x^3)/8-(3x^2)/2-5