If `f: RvecR`is a function satisfying `f(x+y)=f(x y)`for all `x ,y in – InterviewSolution

1.	If `f: RvecR`is a function satisfying `f(x+y)=f(x y)`for all `x ,y in Ra d nf(3/4)=3/4,t h e nf(9/(16))=``3/4`b. `9/(16)`c. `(sqrt(3))/2`d. 0A. `(3)/(4)`B. `(9)/(16)`C. `(sqrt3)/(2)`D. `0`
Answer» Correct Answer - A Let `f(0)=k.` Then `f(x)=f(x+0)=f(0)=k` So, f is a constant function. But `f((3)/(4))=(3)/(4)` `therefore" "f(x)=((3)/(4))" for all x and hence "f((9)/(16))=(3)/(4)`

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