SOLUTION: Find functions f and g such that h=gºf h(x)=1/sqrt(2x+1)+sqrt(2x+1)

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Question 1125130: Find functions f and g such that h=gºf
h(x)=1/sqrt(2x+1)+sqrt(2x+1)
Answer by ikleyn(52870) About Me  (Show Source):
You can put this solution on YOUR website!
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I assume that your formula is   h(x) = 1%2Fsqrt%282x%2B1%29 + sqrt%282x%2B1%29.


To avoid ambiguity,  you should write it as   h(x) = (1/sqrt(2x+1)) + sqrt(2x+1)

using PARENTHESES to show the fraction correctly  (if the formula is as I assumed). 


    f(x) = 2x+1;


    g(x) = 1%2Fsqrt%28x%29 + sqrt%28x%29.



First the function  f(x)  converts  "x"  into  "2x+1";


Then the function  g(x)  converts  "2x+1"  into  1%2Fsqrt%282x%2B1%29 + sqrt%282x%2B1%29.