What is the inverse of f(x)=(2x+4)^3-6 ?

The inverse of f(x)=(2x+4)^3-6 is (\sqrt[3]{x+6}-4)/2

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inverse of f(x)=(2x+4)^3-6

inverse

f (x) = (2 x + 4)^{3} - 6

Solution steps

y = (2 x + 4)^{3} - 6

Replace

x

with

y

x = (2 y + 4)^{3} - 6

Solve for

y, x = (2 y + 4)^{3} - 6

f (x) = \frac{7 x + 2}{x - 4}

f (x) = 7 (x - 3)^{\frac{1}{5}}

e^{1 - 4 x^{- 3}}

y = - x + 5

(x^{2} + 5 x)^{\frac{1}{2}}

What is the inverse of f(x)=(2x+4)^3-6 ?
The inverse of f(x)=(2x+4)^3-6 is (\sqrt[3]{x+6}-4)/2