Home
Class 12
MATHS
If the function / satisfies the relation...

If the function / satisfies the relation `f(x+y)+f(x-y)=2f(x),f(y)AAx , y in Ra n df(0)!=0` , then `f(x)i sa ne v e nfu n c t ion` `f(x)i sa nod dfu n c t ion` `Iff(2)=a ,t h e nf(-2)=a` `Iff(4)=b ,t h e nf(-4)=-b`

Promotional Banner

Similar Questions

Explore conceptually related problems

If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx , y in R and f(0)!=0 , then

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 the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AA x,y in R and f(0)!=0 ,then f(x) is an even function f(x) is an odd function If f(2)=a, then f(-2)=a If f(4)=b, then f(-4)=-b

A real valued function satisfies the relation f(x+y)=f(x)+f(y)+(e^x-1)(e^y-1) , AAx,y in R . If f'(0) = 2, find f(x).

If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x , y in Ra n df(1)=5,t h e n f(x)i sa nod dfu n c t ion f(x) is an even function sum_(n=1)^mf(r)=5^(m+1)C_2 sum_(n=1)^mf(r)=(5m(m+2))/3

y=f(x) , where f satisfies the relation f(x+y)=2f(x)+x y(y)+ysqrt(f(x))AAx , y in Ra n df^(prime)(0)=0. Then f(6) is equal of f(-3) is ________

A Function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt* Then (a)f(0) 0

If f(x) satisfies the relation f(x+y)=f(x)+f(y) for all x , y in Ra n df(1)=5,t h e n (a) f(x)i sa nod dfu n c t ion (b) f(x) is an even function (c) sum_(n=1)^mf(r)=5^(m+1)C_2 (d) sum_(n=1)^mf(r)=(5m(m+2))/3

If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2, then find f(x)dot

If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2, then find f(x)dot