What is the inverse of f(x)=8((x^{1/3})/9+4) ?

The inverse of f(x)=8((x^{1/3})/9+4) is (729x^3)/(512)-(2187x^2)/(16)+4374x-46656

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inverse of f(x)=8((x^{1/3})/9+4)

inverse

f (x) = 8 (\frac{x ^{\frac{1}{3}}}{9} + 4)

\frac{729 x ^{3}}{512} - \frac{2187 x ^{2}}{16} + 4374 x - 46656

Solution steps

y = 8 (\frac{x ^{\frac{1}{3}}}{9} + 4)

Replace

x

with

y

x = 8 (\frac{y ^{\frac{1}{3}}}{9} + 4)

Solve for

y, x = 8 (\frac{y ^{\frac{1}{3}}}{9} + 4)

\frac{729 x ^{3}}{512} - \frac{2187 x ^{2}}{16} + 4374 x - 46656

f (x) = x^{2} + 2 x - 8

y = a^{x}

lo g_{2} (k x - 6)

f (x) = 8 + 0.75 x

f (x) = \frac{- 2 x + 1}{- x - 1}

What is the inverse of f(x)=8((x^{1/3})/9+4) ?
The inverse of f(x)=8((x^{1/3})/9+4) is (729x^3)/(512)-(2187x^2)/(16)+4374x-46656