What is the inverse of f(x)=(1+3x^3)/(2-5x^3) ?

The inverse of f(x)=(1+3x^3)/(2-5x^3) is -\sqrt[3]{(1-2x)/(3+5x)}

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inverse of f(x)=(1+3x^3)/(2-5x^3)

inverse

f (x) = \frac{1 + 3 x ^{3}}{2 - 5 x ^{3}}

Solution steps

y = \frac{1 + 3 x ^{3}}{2 - 5 x ^{3}}

Replace

x

with

y

x = \frac{1 + 3 y ^{3}}{2 - 5 y ^{3}}

Solve for

y, x = \frac{1 + 3 y ^{3}}{2 - 5 y ^{3}}

y = 5^{x} + 7

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

y = \frac{x - 2}{x + 3}

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

f (x) = \frac{2 x + 1}{3 x - 5}

What is the inverse of f(x)=(1+3x^3)/(2-5x^3) ?
The inverse of f(x)=(1+3x^3)/(2-5x^3) is -\sqrt[3]{(1-2x)/(3+5x)}