SOLUTION: Find f(x) and g(x) such that h(x) = (f o g)(x). (h)x = 1/(sqrt(3x+7))

Algebra ->  Graphs -> SOLUTION: Find f(x) and g(x) such that h(x) = (f o g)(x). (h)x = 1/(sqrt(3x+7))      Log On


   

Question 934014: Find f(x) and g(x) such that h(x) = (f o g)(x).
(h)x = 1/(sqrt(3x+7))
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming this is what you're trying to say.
+h%28x%29+=+1%2F%28sqrt%283x%2B7%29%29+
Since we know that
+h%28x%29+=+%28f%2Ag%29%28x%29+
We can use the property of equality to make a probable solution that
+%28f%2Ag%29%28x%29+=+1%2F%28sqrt%283x%2B7%29%29+
Based on this, we can only assume that there are infinite solutions since there are no more information that you have provided.
For example, the functions could be:
+f%28x%29+=+1%2Fx+
+g%28x%29+=+sqrt%283x%2B7%29+
OR the functions could be:
+f%28x%29+=+1%2Fsqrt%28x%29+
+g%28x%29+=+%283x%2B7%29%5E2+