SOLUTION: Kindly help me solving it I tried my best but I couldn't If f(x)=q�(x-p)/(q-p) + p�(x-q)/(p-q) then f(p)+f(q) is equal to A)p+q B)f(pq) C)f(p-q) D)none of these

Question 1044606: Kindly help me solving it I tried my best but I couldn't
If f(x)=q�(x-p)/(q-p) + p�(x-q)/(p-q) then f(p)+f(q) is equal to
A)p+q
B)f(pq)
C)f(p-q)
D)none of these
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If f(x)=q*(x-p)/(q-p) + p*(x-q)/(p-q) then f(p)+f(q) is equal to
A)p+q
B)f(pq)
C)f(p-q)
D)none of these
==========
f(x)=q*(x-p)/(q-p) + p*(x-q)/(p-q)
--
Find f(p)
f(p)=q*(p-p)/(q-p) + p*(p-q)/(p-q) = p
------
Find f(q)
f(q)=q*(q-p)/(q-p) + p*(q-q)/(p-q) = q
============
f(p) + f(q) = p+q

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