- #1
barathiviji
- 3
- 0
give me solution to this problem...
Let f be a function from the set of real numbers R to R such that f(1) is not equal to 0 , and f(x+y)=f(x)+f(y), f(xy)=f(x)(y) for all x,y belongs to R. Then show that f(x)=x for all x in R
Let f be a function from the set of real numbers R to R such that f(1) is not equal to 0 , and f(x+y)=f(x)+f(y), f(xy)=f(x)(y) for all x,y belongs to R. Then show that f(x)=x for all x in R