SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find functions f and g so that h(x) = (f o g)(x). h(x) = cube root (59x^2 + 78)

Algebra ->  Expressions-with-variables -> SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE: Find functions f and g so that h(x) = (f o g)(x). h(x) = cube root (59x^2 + 78)      Log On


   

Question 161481: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM PLEASE:
Find functions f and g so that h(x) = (f o g)(x).
h(x) = cube root (59x^2 + 78)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are so many possible answers (actually there are an infinite number of possible answers), but here's one simple answer


Let f%28x%29=root%283%2Cx%2B78%29 and g%28x%29=59x%5E2


So %28fog%29%28x%29=root%283%2C%2859x%5E2%29%2B78%29=root%283%2C59x%5E2%2B78%29


Notice how I simply replaced the "x" in f(x) with 59x%5E2 to get %28fog%29%28x%29