Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z?	Choices:
A) f(x) = x2  B) f(x) = x + (x−1)^2  C) f(x) = x-1  D) f(x) = 5/x  E) f(x) = x/5
E. f(x) = x/5   Now for LHS x=y-z   so F(x) = F(y-z)   put x as Y-Z in X/5   f(y-z)=y-z/5= y/5-z/5---------1   similarly RHS   F(Y) = y/5---   F(Z)=Z/5 ---   F(Y)-F(Z)=Y/5 - Z/5------------2   we can see LHS =RHS ..so E remains.   ANSWf(x) = x/5R:f(x) = x/5
<result>E</result>
Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z?