Grade 12th passAlgebra
if f(x) satisfies the relation 2f(x)+f(1-x)=x ^2 for all real x, then find f(x)
1 Answer
Arun
Dear student
We have equation
2 f(x) + f(1 -x) = x² ...(i)
Now replace x by (1 - x)
2 f(1 -x) + f(x) = (1-x)² ....(ii)
Now multiply equation (i) by 2 and eliminate f(1-x)
Hence now you will get f(x)
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