find f(x) and g(x) such that h(x)= (fog)(x)
h(x)= 1/sqrt3+7
To find the functions f(x) and g(x) such that h(x) = (f o g)(x), we need to reverse the process of function composition.
Let's start with h(x) = 1/sqrt(3) + 7.
Step 1: Identify g(x)
Since we know that (f o g)(x) = h(x), we can see that the inner function is g(x). So, g(x) must produce the value that is input into f(x) to get h(x).
In this case, g(x) = 1/sqrt(3).
Step 2: Identify f(x)
To find f(x), we need to determine what operation(s) need to be performed on the output of g(x) to get h(x).
In this case, h(x) = 1/sqrt(3) + 7. So, after g(x), we need to add 7.
Thus, f(x) = x + 7.
So, the functions f(x) and g(x) such that h(x) = (f o g)(x) are:
g(x) = 1/sqrt(3)
f(x) = x + 7