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

The inverse of f(x)=5x^{-4/3} is \sqrt[4]{(125)/(x^3)},-\sqrt[4]{(125)/(x^3)}

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

inverse

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{1}{x ^{2} + x - 12}

f (x) = \frac{x + 5}{7}

\frac{2}{3 x - 5}

h (x) = \frac{8 - x ^{2}}{5}

What is the inverse of f(x)=5x^{-4/3} ?
The inverse of f(x)=5x^{-4/3} is \sqrt[4]{(125)/(x^3)},-\sqrt[4]{(125)/(x^3)}