Hi people!
My name is John, I am beginner in this forum but could realize that you really help too much. So, I ask that you help me to solve a matter of a school work. They are 15 matters and there is one missing that I did not manage to solve. This is the question:

If F is the real function of real variable, like F(2X+1)=X for all x, so, what is the result of 2F(X)+3?

2. Originally Posted by jhonyGrund
Hi people!
My name is John, I am beginner in this forum but could realize that you really help too much. So, I ask that you help me to solve a matter of a school work. They are 15 matters and there is one missing that I did not manage to solve. This is the question:

If F is the real function of real variable, like F(2X+1)=X for all x, so, what is the result of 2F(X)+3?
Let y= 2x+1 so that x= (y-1)/2. Then "F(2x+ 1)= x" becomes "F(y)= (y-1)/2. Can you find 2F(x)+ 3 now?

3. Originally Posted by HallsofIvy
Let y= 2x+1 so that x= (y-1)/2. Then "F(2x+ 1)= x" becomes "F(y)= (y-1)/2. Can you find 2F(x)+ 3 now?
I Did not yet manage to understand. Could you be a little less objective?

4. Ok, I think I understood the question.
Here is the question solved:
f(2x + 1) = x
f(2x) = x - 1
f(x) = (x - 1)/2

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

Thank you for help!