Find the value of function f(5/4)

Oct 2019
9
4
India
Could someone, please, help me solve this?


Let f be a function with the domain the set of all real numbers except 0 and 1 ,that satifies the equation :


2xf(x) - f[(x-1)/x] = 20


Find f(5/4)
 
Jun 2013
1,111
590
Lebanon
Let

\(\displaystyle g(x)=2x f(x)-f\left(\frac{x-1}{x}\right)\)

and solve the system

\(\displaystyle g\left(\frac{5}{4}\right)=20,g\left(\frac{1}{5}\right)=20,g(-4)=20\)
 
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Oct 2019
9
4
India
I've actually solved this right after posting it. How can I delete this post? I tried to unwatch it. It's not working.
 
Mar 2012
564
29
f(5/4) = 68/3

f(1/5) = 110/3

f(-4) = -16/3
 

topsquark

Forum Staff
Jan 2006
11,569
3,453
Wellsville, NY
I've actually solved this right after posting it. How can I delete this post? I tried to unwatch it. It's not working.
MHF policy is to not delete threads or posts unless there is a serious situation. I'm going to leave this. Someone else might get something out of it as well.

-Dan