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Which of the following statements are incorrect? `I`. If `f(x)` and `g(x)` are one-one then `f(x)+g(x)` is also one-one. `II `. If `f(x)` and `g(x)` are one-one then `f(x)dotg(x)` is also one-one. `III`. 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`

A

I and II only

B

II and III only

C

III and I only

D

I, II and III

Text Solution

Verified by Experts

The correct Answer is:
D
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
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