Question

F(x)=1+2x/3-x найти f(x)

Answer 1

F'(x)=f(x)

f(x)= 0 + 2(3-x)-2x*(-1)/ (3-x)² = 6-2x+2x/(3-x)²= 6/(3-x)²

Answer 2

To find the value of f(x) from the given function F(x), we simply replace the variable x in F(x) with f(x):

F(x) = 1 + (2x) / (3 - x)

Now, we replace x with f(x):

F(f(x)) = 1 + (2f(x)) / (3 - f(x))

So, f(x) = 1 + (2f(x)) / (3 - f(x))

This is the expression for f(x) in terms of itself. It is a functional equation, and to find the specific function f(x), we need additional information or constraints. Without more context or conditions, we cannot determine the exact form of f(x).