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

The inverse of f(x)=5(\sqrt[3]{x}+3) is (x^3}{125}-(9x^2)/(25)+\frac{27x)/5-27

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

inverse

\frac{x ^{3}}{125} - \frac{9 x ^{2}}{25} + \frac{27 x}{5} - 27

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3}}{125} - \frac{9 x ^{2}}{25} + \frac{27 x}{5} - 27

ln (\frac{1}{x - 4})

y = 2 x - 5

f (x) = 4 x + 50

f (x) = \frac{( 5 x - 6 )}{( 2 x - 2 )}

(0, - 5), (7, 2)

What is the inverse of f(x)=5(\sqrt[3]{x}+3) ?
The inverse of f(x)=5(\sqrt[3]{x}+3) is (x^3}{125}-(9x^2)/(25)+\frac{27x)/5-27