SOLUTION: help!!!! if f(2x)=4/2+x calculate 2f(x)=?

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: help!!!! if f(2x)=4/2+x calculate 2f(x)=?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 72423This question is from textbook
: help!!!!
if f(2x)=4/2+x
calculate
2f(x)=?This question is from textbook

Answer by psbhowmick(489) About Me  (Show Source):
You can put this solution on YOUR website!
f%282x%29=4%2F%282%2Bx%29

Let z+=+2x.
Then, x+=+z%2F2.

So, f%28z%29=4%2F%282%2Bz%2F2%29
or f%28z%29=8%2F%284%2Bz%29

Replacing z by x
f%28x%29=8%2F%284%2Bx%29
So, 2f%28x%29=2%2A8%2F%284%2Bx%29=16%2F%284%2Bx%29