If `f(x+1)+f(x-1)=2f(x)a n df(0),=0,` then `f(n),n in N ,` is `nf(1)` (b) `{f(1)}^n` (c)`0` (d) none of these

If f(x) is a polynomial satisfying f(x)f(1/x)=f(x)+f(1/x)a n df(3)=28 ,t h e nf(4) is equal to 63 (b) 65 (c) 17 (d) none of these

If f(x+f(y))=f(x)+yAAx ,y in Ra n df(0)=1, then find the value of f(7)dot

If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(7)dot

f(1)=1, n ge 1 f(n+1)=2f(n)+1 then f(n)=

ifint(dx)/(x^2(x^n+1)^(((n-1)/n)) )=-[f(x)]^(1/n)+c ,t h e nf(x)i s (a) (1+x^n) (b) 1+x^(-1) (c) x^n+x^(-n) (d) none of these

If f(x+y)=f(x)+f(y)-x y-1AAx , y in Ra n df(1)=1, then the number of solution of f(n)=n , n in N , is 0 (b) 1 (c) 2 (d) more than 2

If f(x+y)=f(x)+f(y)-x y-1AAx , y in Ra n df(1)=1, then the number of solution of f(n)=n , n in N , is 0 (b) 1 (c) 2 (d) more than 2

If the function f satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx , y in Ra n df(0)!=0 , then f(x) is an even fu n c t ion f(x) is an odd fu n c t ion If f(2)=a ,t h e nf(-2)=a If f(4)=b ,t h e nf(-4)=-b

If f(x)=m x+ca n df(0)=f^(prime)(0)=1. What is f(2)?

Let f(x)=x+f(x-1) for AAx in R . If f(0)=1,f i n d \ f(100) .