What is the inverse of f(x)=-1/64 (x-6)^3+3 ?

The inverse of f(x)=-1/64 (x-6)^3+3 is \sqrt[3]{-64x+192}+6

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inverse of f(x)=-1/64 (x-6)^3+3

inverse

f (x) = - \frac{1}{64} (x - 6)^{3} + 3

Solution steps

y = - \frac{1}{64} (x - 6)^{3} + 3

Replace

x

with

y

x = - \frac{1}{64} (y - 6)^{3} + 3

Solve for

y, x = - \frac{1}{64} (y - 6)^{3} + 3

\frac{x + 1}{x ^{2} - 1}

\frac{x ^{2}}{x ^{2} - 16}

f (x) = \frac{6 x ^{2} + 16 x}{9 x + 24}

f (x) = \frac{x ^{2} + x - 20}{x - 5}

4 x^{3} - 3 x

What is the inverse of f(x)=-1/64 (x-6)^3+3 ?
The inverse of f(x)=-1/64 (x-6)^3+3 is \sqrt[3]{-64x+192}+6