Given the expression:
[tex]\text{ }\frac{1}{5x^3}[/tex]Let's express the expression in inverse notation.
[tex]f(x)\text{ = }\frac{1}{5x^{3^{}}}[/tex][tex]f^{-1}(x)\text{ }\rightarrow\text{ x = }\frac{1}{5y^3}\text{ }\rightarrow y^3\text{ = }\frac{1}{5x}\text{ }\rightarrow\text{ y =}\sqrt[3]{\frac{1}{5x}}[/tex][tex]f^{-1}(x)\text{ = }\sqrt[3]{\frac{1}{5x}}[/tex]Therefore, the inverse notation of 1/5x^3 is 3√1/5x.
