# Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set: 98

all real numbers

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given function, $g(t)=\sqrt[3]{2t-6} ,$ is the permissible values of $x.$ $\bf{\text{Solution Details:}}$ With an odd index (index equals $3$), then the radicand can be any real number. Hence, the domain is the set of $\text{ all real numbers .}$

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