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Questions  

 If f:[0,)[0,) and f(x)=x1+x, then f is 

a
one-one and onto
b
one-one but not onto
c
onto but not one-one
d
neither one-one nor onto

detailed solution

Correct option is B

fx =x1+x f'x = 1+x-x1+x2=11+x2>0 for all x∈R therefore fx is increasing function ,hence f is one-one  domain of fx is x∈ [0,∞)   since x

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Similar Questions

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)g(x) is also one-one

 III. If f(x) is odd then it is necessarily one-one. 


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