Which of the following statements are incorrect? If `f(x)` and `g(x)` are one-one then `f(x)+g(x)` is also one-one If `f(x)` and `g(x)` are one-one then `f(x)dotg(x)` is also one-one If `f(x)` is odd then it is necessarily one-one? `Ia n dI Ion l y` b. `I Ia n dI I Ion l y` c. `I I Ia n dIon l y` d. `I ,I Ia n dI I I`

Options

A. I and II only
B. II and III only
C. III and I only
D. I, II and III

Answer

D

Explanation

I. `f(x)=x and g(x)=-x or f(x) = x and g(x)=-x^(3)`
II. `f(x)=x and g(x)=x^(3)`
III. F(x) = sin x which is odd but not one-one or `f(x)=x^(2) sin x` which is odd but many one