What is the inverse of f(x)=(4x+8)^3-16 ?

The inverse of f(x)=(4x+8)^3-16 is (\sqrt[3]{x+16}-8)/4

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inverse of f(x)=(4x+8)^3-16

inverse

f (x) = (4 x + 8)^{3} - 16

Solution steps

y = (4 x + 8)^{3} - 16

Replace

x

with

y

x = (4 y + 8)^{3} - 16

Solve for

y, x = (4 y + 8)^{3} - 16

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

f (x) = \frac{7 - 4 x}{5 x + 9}

f (x) = \frac{x - 10}{5 x}

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

f (x) = \frac{5 ( x - 32 )}{9}

What is the inverse of f(x)=(4x+8)^3-16 ?
The inverse of f(x)=(4x+8)^3-16 is (\sqrt[3]{x+16}-8)/4