Question no 12 pls sir as soon as possible Thank you
Arjun , 5 Years ago
Grade 12
Algebra> Question no 12 pls sir as soon as possibl...
1 Answers
Aditya Gupta
Last Activity: 5 Years ago
since f(x+y) + f(x – y)= 2f(x)f(y) holds for all x and y belonging to R, so we can replace x and y with each other.
so f(y+x) + f(y – x)= 2f(y)f(x)
subtract both eqns we get f(x – y)= f(y – x)
now put z= x – y
so f(z)= f(–z)
hence f is EVEN
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