mlswimmer731 mlswimmer731
  • 10-06-2020
  • Mathematics
contestada

Find the inverse of f(x)=1/(x^3)

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marlinhadryelle1919
marlinhadryelle1919 marlinhadryelle1919
  • 16-06-2020

Answer:

Step-by-step explanation:

y[tex]f(x)^{-1} = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}[/tex]

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