QuestionFind the domain of the function $f(t)=\sqrt[3]{6 t-2}$ in interval notation.

Studdy Solution

STEP 1

Assumptions1. The function is $f(t)=\sqrt[3]{6 t-}$ . We need to find the domain of this function3. The domain of a function is the set of all possible input values (t-values in this case) which will produce a valid output4. For a cube root function, the domain is all real numbers because you can take the cube root of any real number

STEP 2

The function is a cube root function. The cube root of any real number is defined, so the domain of the function is all real numbers.
$Domain = (-\infty, \infty)$ The domain of the function $f(t)=\sqrt[]{6 t-2}$ is all real numbers.

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