SOLUTION: what is the domain and the range of the function g(x)? g(x) = {{{(15x^2-6x)^(1/3)}}}

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Question 787691: what is the domain and the range of the function g(x)?
g(x) = %2815x%5E2-6x%29%5E%281%2F3%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There are no varialbles in a denominator and the root index is odd, so there are no excluded values from the domain. The first derivative is a fraction with a numerator that has a zero a 0.2 and the second derivative is positive at 0.2, so there is a minimum at x = 0.2. That means the range is the interval f(0.2) to closed on the left.

John

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