The function f(x) = ∛x - 3 is positive at the interval (3, oo)
How to determine what interval is the function positive?
The function is given as:
f(x) = ∛x - 3
The function is positive when the function value is greater than 0
This is represented as:
f(x) > 0
So, we have the following inequality expression
∛x - 3 > 0
Take the cube of both sides
x - 3 > 0
Add 3 to both sides
x > 3
Express as an interval notation
(3, oo)
Hence, the function f(x) = ∛x - 3 is positive at the interval (3, oo)
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