Example

Evaluating the Cube Root Function g(x)=x63g(x) = \sqrt[3]{x - 6}

To evaluate the cube root function g(x)=x63g(x) = \sqrt[3]{x - 6} for specific values, substitute the value for the independent variable xx and simplify using the order of operations:

  • Evaluate g(14)g(14): Substitute 1414 for xx to obtain g(14)=1463g(14) = \sqrt[3]{14 - 6}. Simplify the radicand to get 83\sqrt[3]{8}. Taking the cube root yields g(14)=2g(14) = 2.
  • Evaluate g(2)g(-2): Substitute 2-2 for xx to obtain g(2)=263g(-2) = \sqrt[3]{-2 - 6}. Simplify the radicand to get 83\sqrt[3]{-8}. Taking the cube root yields g(2)=2g(-2) = -2.

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Updated 2026-05-26

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