What is the inverse of f(x)=(3x-24)^4 ?

The inverse of f(x)=(3x-24)^4 is (\sqrt[4]{x}+24)/3 ,(-\sqrt[4]{x}+24)/3

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inverse of f(x)=(3x-24)^4

inverse

f (x) = (3 x - 24)^{4}

Solution steps

y = (3 x - 24)^{4}

Replace

x

with

y

x = (3 y - 24)^{4}

Solve for

y, x = (3 y - 24)^{4}

- x + 2

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

f (x) = \frac{1}{4} x + 5

f (x) = \frac{( x + 5 )}{x ^{2} - 25}

f (x) = 2 x^{2} \frac{1}{x ^{2} - 1}

What is the inverse of f(x)=(3x-24)^4 ?
The inverse of f(x)=(3x-24)^4 is (\sqrt[4]{x}+24)/3 ,(-\sqrt[4]{x}+24)/3