Question

Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?

Answer 1

Using translation concepts, it is found that g(x) is positive on the following interval:

(3, ∞)

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function $g(x) = \sqrt[3]{x - 3}$ is a shift right of 3 units of $f(x) = \sqrt[3]{x}$, which is positive on the interval (0, ∞), hence g(x) is positive on the interval (3, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

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