SOLUTION: f(x) = the cubed root of 2x squared - 6x (a) find f(3) (b) state domain i don't remember how to do these problems!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: f(x) = the cubed root of 2x squared - 6x (a) find f(3) (b) state domain i don't remember how to do these problems!       Log On


   

Question 152942: f(x) = the cubed root of 2x squared - 6x

(a) find f(3)
(b) state domain
i don't remember how to do these problems!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
f%28x%29+=+%282x%5E2-6x%29%5E%281%2F3%29 This is just another way of expressing the cube root of an expression.
Find:
f%283%29 So you simply substitute 3 for every x in the given expression:
f%283%29+=+%282%283%29%5E2-6%283%29%29%5E%281%2F3%29
f%283%29+=+%2818-18%29%5E%281%2F3%29
f%283%29+=+0
The domain is all the possible values of the independent variable (x), and this was given as x = 3, so it's just 3.