What is the inverse of f(x)=((3x-4)/5)^3 ?

The inverse of f(x)=((3x-4)/5)^3 is (5\sqrt[3]{x}+4)/3

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inverse of f(x)=((3x-4)/5)^3

inverse

f (x) = (\frac{3 x - 4}{5})^{3}

Solution steps

y = (\frac{3 x - 4}{5})^{3}

Replace

x

with

y

x = (\frac{3 y - 4}{5})^{3}

Solve for

y, x = (\frac{3 y - 4}{5})^{3}

f (x) = 8 - x - 3

f (x) = \frac{2 x + 3}{5 x - 4}

- tan^{2} (x)

2 x + 2

f (x) = 5 x - 1

What is the inverse of f(x)=((3x-4)/5)^3 ?
The inverse of f(x)=((3x-4)/5)^3 is (5\sqrt[3]{x}+4)/3