What is the inverse of f(x)=-2(4x+8)^3 ?

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

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inverse of f(x)=-2(4x+8)^3

inverse

f (x) = - 2 (4 x + 8)^{3}

Solution steps

y = - 2 (4 x + 8)^{3}

Replace

x

with

y

x = - 2 (4 y + 8)^{3}

Solve for

y, x = - 2 (4 y + 8)^{3}

y = \frac{4}{x} + 10

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

f (x) = 1 - 2 x + 4

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