What is the inverse of f(x)=(2x-3)^6-8 ?

The inverse of f(x)=(2x-3)^6-8 is (\sqrt[6]{x+8}+3)/2 ,(-\sqrt[6]{x+8}+3)/2

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inverse of f(x)=(2x-3)^6-8

inverse

f (x) = (2 x - 3)^{6} - 8

Solution steps

y = (2 x - 3)^{6} - 8

Replace

x

with

y

x = (2 y - 3)^{6} - 8

Solve for

y, x = (2 y - 3)^{6} - 8

2^{x + 3} - 4

f (x) = \frac{7 x}{2} + 3

f (x) = 2^{3 x}

f (x) = \frac{3 x + 2}{x - 4}

4 x^{3} + 3

What is the inverse of f(x)=(2x-3)^6-8 ?
The inverse of f(x)=(2x-3)^6-8 is (\sqrt[6]{x+8}+3)/2 ,(-\sqrt[6]{x+8}+3)/2