What is the inverse of f(x)=\sqrt[3]{5x-1}+4 ?

The inverse of f(x)=\sqrt[3]{5x-1}+4 is (x^3-12x^2+48x-63)/5

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inverse of f(x)=\sqrt[3]{5x-1}+4

inverse

\frac{x ^{3} - 12 x ^{2} + 48 x - 63}{5}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} - 12 x ^{2} + 48 x - 63}{5}

\frac{4}{x - 1}

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

f (x) = 1111100001

(5.3) (2.6)

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

What is the inverse of f(x)=\sqrt[3]{5x-1}+4 ?
The inverse of f(x)=\sqrt[3]{5x-1}+4 is (x^3-12x^2+48x-63)/5