SOLUTION: Find f (x) and g(x) such that h(x) = ( f o g)(x) = cube root of (3x +1) . f(x) = ___________ ___ g(x) = ___________ ___

Algebra ->  Graphs -> SOLUTION: Find f (x) and g(x) such that h(x) = ( f o g)(x) = cube root of (3x +1) . f(x) = ___________ ___ g(x) = ___________ ___       Log On


   



Question 839731: Find f (x) and g(x) such that h(x) = ( f o g)(x) = cube root of (3x +1) .
f(x) = _______________
g(x) = _______________

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You have f%28g%28x%29%29=root%283%2C3x%2B1%29.
Try to identify each composed function. You may see on the outside, f%28x%29=root%283%2Cx%29;
If g(x) is used as the input for f(x), then what appears placed in this function f as the input is 3x%2B1; this would be g(x).

One answer is f%28x%29=root%283%2Cx%29, and g%28x%29=3x%2B1.

One other answer for this is possible, too.