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(07.03 MC) Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive? (–∞, –3) (–∞, 3) (–3, ∞) (3, ∞)



Answer :

Dinofish32

Answer: None of the Above. It is positive from (27, ∞)

Step-by-step explanation:

We could use the inequality [tex]\sqrt[3]x - 3 > 0[/tex] in order to figure out when g(x) is positive. Let us solve for x in this problem:

[tex]\sqrt[3]x - 3 > 0\\\sqrt[3]x > 3\\x > 3^3\\\\x > 27[/tex]

This would mean that the function is positive from the interval (27, ∞). Since all the answer choices start at a value less than 27, none of the answer choices are applicable.

Hope this helps!

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