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

The inverse of f(x)=3x^{4/3} is \sqrt[4]{(x^3)/(27)},-\sqrt[4]{(x^3)/(27)}

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

inverse

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

g (x) = 0.25 lo g_{10} (x^{3} + 1)

f (x) = \frac{4}{( x - 1 )}

y = lo g_{10} (- 2 x)

What is the inverse of f(x)=3x^{4/3} ?
The inverse of f(x)=3x^{4/3} is \sqrt[4]{(x^3)/(27)},-\sqrt[4]{(x^3)/(27)}