What is the inverse of f(x)=8\sqrt[3]{x}-4 ?

The inverse of f(x)=8\sqrt[3]{x}-4 is (x^3)/(512)+(3x^2)/(128)+(3x)/(32)+1/8

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inverse of f(x)=8\sqrt[3]{x}-4

inverse

\frac{x ^{3}}{512} + \frac{3 x ^{2}}{128} + \frac{3 x}{32} + \frac{1}{8}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3}}{512} + \frac{3 x ^{2}}{128} + \frac{3 x}{32} + \frac{1}{8}

f (x) = e^{4 x - 9}

f (x) = \frac{2 x + 3}{x - 3}

f (x) = 2 (x - 6)^{\frac{1}{3}} + 10

f (x) = - 2 + 6

f (x) = - 2 + 8

What is the inverse of f(x)=8\sqrt[3]{x}-4 ?
The inverse of f(x)=8\sqrt[3]{x}-4 is (x^3)/(512)+(3x^2)/(128)+(3x)/(32)+1/8