Home
Class 6
MATHS
[" 4.A function "f:R rarr R" satisy the ...

[" 4.A function "f:R rarr R" satisy the equation "],[f(x)f(y)-f(xy)=x+y" for all "x,y in R],[" and "f(y)>0," then "],[[" 1) "f(x)=x+(1)/(2)," 2) "f(x)=(x)/(2)+1],[" 3) "f(x)=(x)/(2)-1," 4) "f(x)=x+1]]

Promotional Banner

Similar Questions

Explore conceptually related problems

A function f:R rarr R satisfy the equation f(x)f(y)-f(xy)=x+y for all x,y in R and f(y)>0, then

A function f: R -> R satisfy the equation f (x)f(y) - f (xy)= x+y for all x, y in R and f(y) > 0 , then

A function f: R -> R satisfy the equation f (x)f(y) - f (xy)= x+y for all x, y in R and f(y) > 0 , then

A function f: R -> R satisfy the equation f (x)f(y) - f (xy)= x+y for all x, y in R and f(y) > 0 , then

" A function "f:R rarr R" satisfies the equation "f(x)f(y)-f(xy)=x+y" and "f(y)>0" ,then "f(x)f^(-1)(x)=

A function f: RrarrR satisfies the equation f(x) f(y) - f(xy) = x+ y, AAx,y in R and f(1) gt 0 , then

A function f : R→R satisfies the equation f(x)f(y) - f(xy) = x + y ∀ x, y ∈ R and f (1)>0 , then

LEt F:R rarr R is a differntiable function f(x+2y)=f(x)+f(2y)+4xy for all x,y in R

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is