What is the inverse of f(x)=125(x-3)^3 ?

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

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inverse of f(x)=125(x-3)^3

inverse

f (x) = 125 (x - 3)^{3}

Solution steps

y = 125 (x - 3)^{3}

Replace

x

with

y

x = 125 (y - 3)^{3}

Solve for

y, x = 125 (y - 3)^{3}

f (x) = - x

\frac{2 x - 4}{x ^{2} - 4 x}

f (x) = 5 y + 4 = (x + 3)^{2} + \frac{1}{2}

\frac{36 - x ^{2}}{x + 2}

f (x) = 3 x - 4

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